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42792152832 = 28321113235647
BaseRepresentation
bin100111110110100111…
…000110111100000000
311002110020222121010100
4213312213012330000
51200114242342312
631354120202400
73043300204032
oct476647067400
9132406877110
1042792152832
111716a066870
128363009400
13405c692ac0
1420dd34bc52
1511a6bc15dc
hex9f69c6f00

42792152832 has 432 divisors, whose sum is σ = 151279285248. Its totient is φ = 11447377920.

The previous prime is 42792152813. The next prime is 42792152863. The reversal of 42792152832 is 23825129724.

42792152832 is a `hidden beast` number, since 4 + 2 + 7 + 92 + 1 + 528 + 32 = 666.

42792152832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7575033 + ... + 7580679.

Almost surely, 242792152832 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 42792152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75639642624).

42792152832 is an abundant number, since it is smaller than the sum of its proper divisors (108487132416).

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

42792152832 is a wasteful number, since it uses less digits than its factorization.

42792152832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5699 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 42792152832 in words is "forty-two billion, seven hundred ninety-two million, one hundred fifty-two thousand, eight hundred thirty-two".