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18663976672 = 2511676131291
BaseRepresentation
bin10001011000011101…
…011010111011100000
31210011201120020210021
4101120131122323200
5301210434223142
612324001443224
71230340120105
oct213035327340
953151506707
1018663976672
117a08367a10
12374a640514
1319b59691a3
14c90aa8aac
15743812267
hex45875aee0

18663976672 has 96 divisors (see below), whose sum is σ = 40781349504. Its totient is φ = 8336908800.

The previous prime is 18663976627. The next prime is 18663976673. The reversal of 18663976672 is 27667936681.

It is a super-3 number, since 3×186639766723 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18663976672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18663976673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14456347 + ... + 14457637.

It is an arithmetic number, because the mean of its divisors is an integer number (424805724).

Almost surely, 218663976672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18663976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20390674752).

18663976672 is an abundant number, since it is smaller than the sum of its proper divisors (22117372832).

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

18663976672 is a wasteful number, since it uses less digits than its factorization.

18663976672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 61.

The spelling of 18663976672 in words is "eighteen billion, six hundred sixty-three million, nine hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 613 737 1072 1226 1291 1474 2144 2452 2582 2948 4904 5164 5896 6743 9808 10328 11792 13486 14201 19616 20656 23584 26972 28402 41071 41312 53944 56804 82142 86497 107888 113608 164284 172994 215776 227216 328568 345988 451781 454432 657136 691976 791383 903562 951467 1314272 1383952 1582766 1807124 1902934 2767904 3165532 3614248 3805868 6331064 7228496 7611736 8705213 12662128 14456992 15223472 17410426 25324256 30446944 34820852 53022661 69641704 106045322 139283408 212090644 278566816 424181288 583249271 848362576 1166498542 1696725152 2332997084 4665994168 9331988336 18663976672