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18664921069056 = 293310267131507
BaseRepresentation
bin1000011111001110000111…
…11111010111011000000000
32110002100102102220201121000
410033213003333113120000
54421301224243202211
6103410314003132000
73634332100242423
oct417470377273000
973070372821530
1018664921069056
115a46826393929
122115478374000
13a5512c81b032
1448755bcdb9ba
152257b64dd656
hex10f9c3fd7600

18664921069056 has 160 divisors (see below), whose sum is σ = 55255263972480. Its totient is φ = 6220987066368.

The previous prime is 18664921069043. The next prime is 18664921069103. The reversal of 18664921069056 is 65096012946681.

18664921069056 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 492 + 1 + 0 + 6 + 90 + 56 = 666.

It is a super-2 number, since 2×186649210690562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18664921068984 and 18664921069002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141865255 + ... + 141996761.

It is an arithmetic number, because the mean of its divisors is an integer number (345345399828).

Almost surely, 218664921069056 is an apocalyptic number.

18664921069056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18664921069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27627631986240).

18664921069056 is an abundant number, since it is smaller than the sum of its proper divisors (36590342903424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18664921069056 is a wasteful number, since it uses less digits than its factorization.

18664921069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141801 (or 141779 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 18664921069056 in words is "eighteen trillion, six hundred sixty-four billion, nine hundred twenty-one million, sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 10267 13824 20534 30801 41068 61602 82136 92403 123204 131507 164272 184806 246408 263014 277209 328544 369612 394521 492816 526028 554418 657088 739224 789042 985632 1052056 1108836 1183563 1314176 1478448 1578084 1971264 2104112 2217672 2367126 2628352 2956896 3156168 3550689 3942528 4208224 4435344 4734252 5256704 5913792 6312336 7101378 7885056 8416448 8870688 9468504 11827584 12624672 14202756 15770112 16832896 17741376 18937008 23655168 25249344 28405512 33665792 35482752 37874016 47310336 50498688 56811024 67331584 70965504 75748032 100997376 113622048 141931008 151496064 201994752 227244096 302992128 454488192 605984256 908976384 1350182369 1817952768 2700364738 4050547107 5400729476 8101094214 10801458952 12151641321 16202188428 21602917904 24303282642 32404376856 36454923963 43205835808 48606565284 64808753712 72909847926 86411671616 97213130568 129617507424 145819695852 172823343232 194426261136 259235014848 291639391704 345646686464 388852522272 518470029696 583278783408 691293372928 777705044544 1036940059392 1166557566816 1555410089088 2073880118784 2333115133632 3110820178176 4666230267264 6221640356352 9332460534528 18664921069056