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23834970432 = 26327213219263
BaseRepresentation
bin10110001100101011…
…001100100101000000
32021112002200221200200
4112030223030211000
5342303223023212
614541042045200
71502436622500
oct261453144500
967462627620
1023834970432
11a121246079
124752349800
13232b067500
14122175ba00
159477936dc
hex58cacc940

23834970432 has 756 divisors, whose sum is σ = 90929947680. Its totient is φ = 5932652544.

The previous prime is 23834970421. The next prime is 23834970437. The reversal of 23834970432 is 23407943832.

23834970432 is a `hidden beast` number, since 238 + 349 + 70 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23834970437) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 90627133 + ... + 90627395.

Almost surely, 223834970432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23834970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45464973840).

23834970432 is an abundant number, since it is smaller than the sum of its proper divisors (67094977248).

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

23834970432 is a wasteful number, since it uses less digits than its factorization.

23834970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 23834970432 in words is "twenty-three billion, eight hundred thirty-four million, nine hundred seventy thousand, four hundred thirty-two".