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23137932032 = 282276312
BaseRepresentation
bin10101100011001000…
…001101001100000000
32012201112002201202122
4111203020031030000
5334341302311112
614343542103412
71446244114535
oct254310151400
965645081678
1023137932032
1198a3839886
124598a1ab68
132249824157
141196d54d8c
159064a8872
hex56320d300

23137932032 has 54 divisors (see below), whose sum is σ = 46462574844. Its totient is φ = 11499747840.

The previous prime is 23137932017. The next prime is 23137932067. The reversal of 23137932032 is 23023973132.

It is a junction number, because it is equal to n+sod(n) for n = 23137931983 and 23137932001.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36668357 + ... + 36668987.

Almost surely, 223137932032 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 23137932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23231287422).

23137932032 is an abundant number, since it is smaller than the sum of its proper divisors (23324642812).

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

23137932032 is an frugal number, since it uses more digits than its factorization.

23137932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The spelling of 23137932032 in words is "twenty-three billion, one hundred thirty-seven million, nine hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 631 908 1262 1816 2524 3632 5048 7264 10096 14528 20192 29056 40384 58112 80768 143237 161536 286474 398161 572948 796322 1145896 1592644 2291792 3185288 4583584 6370576 9167168 12741152 18334336 25482304 36668672 50964608 90382547 101929216 180765094 361530188 723060376 1446120752 2892241504 5784483008 11568966016 23137932032