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18874637264 = 247891939811
BaseRepresentation
bin10001100101000001…
…000001101111010000
31210201101221220210102
4101211001001233100
5302123401343024
612400524551532
71235505524660
oct214501015720
953641856712
1018874637264
11800627137a
1237a90b25a8
131a1a4b6922
14cb0a641a0
157570751ae
hex465041bd0

18874637264 has 80 divisors (see below), whose sum is σ = 42486744960. Its totient is φ = 7955988480.

The previous prime is 18874637239. The next prime is 18874637281. The reversal of 18874637264 is 46273647881.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1918919 + ... + 1928729.

It is an arithmetic number, because the mean of its divisors is an integer number (531084312).

Almost surely, 218874637264 is an apocalyptic number.

18874637264 is a gapful number since it is divisible by the number (14) 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 18874637264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21243372480).

18874637264 is an abundant number, since it is smaller than the sum of its proper divisors (23612107696).

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

18874637264 is a wasteful number, since it uses less digits than its factorization.

18874637264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10108 (or 10102 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 56.

The spelling of 18874637264 in words is "eighteen billion, eight hundred seventy-four million, six hundred thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 89 112 178 193 356 386 623 712 772 1246 1351 1424 1544 2492 2702 3088 4984 5404 9811 9968 10808 17177 19622 21616 34354 39244 68677 68708 78488 120239 137354 137416 156976 240478 274708 274832 480956 549416 873179 961912 1098832 1746358 1893523 1923824 3492716 3787046 6112253 6985432 7574092 12224506 13254661 13970864 15148184 24449012 26509322 30296368 48898024 53018644 97796048 106037288 168523547 212074576 337047094 674094188 1179664829 1348188376 2359329658 2696376752 4718659316 9437318632 18874637264