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18953320512 = 263728349831
BaseRepresentation
bin10001101001101101…
…001011100001000000
31210220220000102220210
4101221231023201000
5302304022224022
612412415234120
71240452365130
oct215155134100
953826012823
1018953320512
118046723255
12380b518940
131a308a5869
14cbb2a6ac0
1575de18a0c
hex469b4b840

18953320512 has 112 divisors (see below), whose sum is σ = 57514898432. Its totient is φ = 5395991040.

The previous prime is 18953320489. The next prime is 18953320523. The reversal of 18953320512 is 21502335981.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355437 + ... + 405267.

Almost surely, 218953320512 is an apocalyptic number.

18953320512 is a gapful number since it is divisible by the number (12) 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 18953320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28757449216).

18953320512 is an abundant number, since it is smaller than the sum of its proper divisors (38561577920).

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

18953320512 is a wasteful number, since it uses less digits than its factorization.

18953320512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50136 (or 50126 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 18953320512 in words is "eighteen billion, nine hundred fifty-three million, three hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 283 336 448 566 672 849 1132 1344 1698 1981 2264 3396 3962 4528 5943 6792 7924 9056 11886 13584 15848 18112 23772 27168 31696 47544 49831 54336 63392 95088 99662 126784 149493 190176 199324 298986 348817 380352 398648 597972 697634 797296 1046451 1195944 1395268 1594592 2092902 2391888 2790536 3189184 4185804 4783776 5581072 8371608 9567552 11162144 14102173 16743216 22324288 28204346 33486432 42306519 56408692 66972864 84613038 98715211 112817384 169226076 197430422 225634768 296145633 338452152 394860844 451269536 592291266 676904304 789721688 902539072 1184582532 1353808608 1579443376 2369165064 2707617216 3158886752 4738330128 6317773504 9476660256 18953320512