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18857144736 = 253417427949
BaseRepresentation
bin10001100011111110…
…010011000110100000
31210200012001012120000
4101203332103012200
5302104412112421
612355102020000
71235204041233
oct214376230640
953605035500
1018857144736
117aa7403a41
1237a3277600
131a169a0911
14cac5cd41a
1575576c226
hex463f931a0

18857144736 has 120 divisors (see below), whose sum is σ = 58720731300. Its totient is φ = 5915953152.

The previous prime is 18857144729. The next prime is 18857144749. The reversal of 18857144736 is 63744175881.

It can be written as a sum of positive squares in 2 ways, for example, as 18273632400 + 583512336 = 135180^2 + 24156^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169911 + ... + 258038.

Almost surely, 218857144736 is an apocalyptic number.

18857144736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18857144736 is an abundant number, since it is smaller than the sum of its proper divisors (39863586564).

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

18857144736 is a wasteful number, since it uses less digits than its factorization.

18857144736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427988 (or 427971 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 18857144736 in words is "eighteen billion, eight hundred fifty-seven million, one hundred forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 427949 855898 1283847 1711796 2567694 3423592 3851541 5135388 6847184 7275133 7703082 10270776 11554623 13694368 14550266 15406164 20541552 21825399 23109246 29100532 30812328 34663869 41083104 43650798 46218492 58201064 61624656 65476197 69327738 87301596 92436984 116402128 123249312 130952394 138655476 174603192 184873968 196428591 232804256 261904788 277310952 349206384 369747936 392857182 523809576 554621904 589285773 698412768 785714364 1047619152 1109243808 1178571546 1571428728 2095238304 2357143092 3142857456 4714286184 6285714912 9428572368 18857144736