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23752890738 = 2334711538117
BaseRepresentation
bin10110000111110010…
…000101100101110010
32021022101020212112000
4112013302011211302
5342121220000423
614524550514430
71500422145213
oct260762054562
967271225460
1023752890738
11a089984415
12472a965a16
132317059645
1412148b340a
1594047d843
hex587c85972

23752890738 has 64 divisors (see below), whose sum is σ = 53960670720. Its totient is φ = 7741495296.

The previous prime is 23752890727. The next prime is 23752890743. The reversal of 23752890738 is 83709825732.

23752890738 is a `hidden beast` number, since 23 + 7 + 528 + 90 + 7 + 3 + 8 = 666.

It is a super-2 number, since 2×237528907382 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2922256 + ... + 2930372.

It is an arithmetic number, because the mean of its divisors is an integer number (843135480).

Almost surely, 223752890738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23752890738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26980335360).

23752890738 is an abundant number, since it is smaller than the sum of its proper divisors (30207779982).

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

23752890738 is a wasteful number, since it uses less digits than its factorization.

23752890738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 23752890738 in words is "twenty-three billion, seven hundred fifty-two million, eight hundred ninety thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1153 1269 2306 2538 3459 6918 8117 10377 16234 20754 24351 31131 48702 54191 62262 73053 108382 146106 162573 219159 325146 381499 438318 487719 762998 975438 1144497 1463157 2288994 2926314 3433491 6866982 9358901 10300473 18717802 20600946 28076703 56153406 84230109 168460218 252690327 439868347 505380654 879736694 1319605041 2639210082 3958815123 7917630246 11876445369 23752890738