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23434932379168 = 2553101313640441
BaseRepresentation
bin1010101010000010111101…
…10100011101111000100000
310001222100122201201212200201
411111001132310131320200
511032424220142113133
6121501505335554544
74636055320346032
oct525013664357040
9101870581655621
1023434932379168
117515776420662
122765a1b52ba54
13100cb9b65accb
145b038485dc52
152a98e2b47d7d
hex15505ed1de20

23434932379168 has 48 divisors (see below), whose sum is σ = 47054450655576. Its totient is φ = 11485032232960.

The previous prime is 23434932379151. The next prime is 23434932379169. The reversal of 23434932379168 is 86197323943432.

It can be written as a sum of positive squares in 4 ways, for example, as 11606368003344 + 11828564375824 = 3406812^2 + 3439268^2 .

It is not an unprimeable number, because it can be changed into a prime (23434932379169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5102173 + ... + 8538268.

Almost surely, 223434932379168 is an apocalyptic number.

It is an amenable number.

23434932379168 is an abundant number, since it is smaller than the sum of its proper divisors (23619518276408).

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

23434932379168 is a wasteful number, since it uses less digits than its factorization.

23434932379168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641517 (or 13641509 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 64.

The spelling of 23434932379168 in words is "twenty-three trillion, four hundred thirty-four billion, nine hundred thirty-two million, three hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1013 1696 2026 4052 8104 16208 32416 53689 107378 214756 429512 859024 1718048 13640441 27280882 54561764 109123528 218247056 436494112 722943373 1445886746 2891773492 5783546984 11567093968 13817766733 23134187936 27635533466 55271066932 110542133864 221084267728 442168535456 732341636849 1464683273698 2929366547396 5858733094792 11717466189584 23434932379168