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23730067641728 = 277191393918447
BaseRepresentation
bin1010110010101000101100…
…10000001001010110000000
310010000120110012210122020002
411121110112100021112000
511102243134304013403
6122245235332535132
74666304124603410
oct531242620112600
9103016405718202
1023730067641728
1176199575a6698
1227b30677814a8
131031974669c46
145c0781870640
152b24181bd188
hex159516409580

23730067641728 has 64 divisors (see below), whose sum is σ = 56871872678400. Its totient is φ = 9634764298752.

The previous prime is 23730067641719. The next prime is 23730067641737. The reversal of 23730067641728 is 82714676003732.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23730067641719) and next prime (23730067641737).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×237300676417282 (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696942200 + ... + 696976247.

It is an arithmetic number, because the mean of its divisors is an integer number (888623010600).

Almost surely, 223730067641728 is an apocalyptic number.

23730067641728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

23730067641728 is an abundant number, since it is smaller than the sum of its proper divisors (33141805036672).

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

23730067641728 is a wasteful number, since it uses less digits than its factorization.

23730067641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393918487 (or 1393918475 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 56.

The spelling of 23730067641728 in words is "twenty-three trillion, seven hundred thirty billion, sixty-seven million, six hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 1393918447 2787836894 5575673788 9757429129 11151347576 19514858258 22302695152 26484450493 39029716516 44605390304 52968900986 78059433032 89210780608 105937801972 156118866064 178421561216 185391153451 211875603944 312237732128 370782306902 423751207888 624475464256 741564613804 847502415776 1248950928512 1483129227608 1695004831552 2966258455216 3390009663104 5932516910432 11865033820864 23730067641728