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23825052832 = 257217893797
BaseRepresentation
bin10110001100000101…
…010111010010100000
32021111102001002022011
4112030011113102200
5342243203142312
614540045322304
71502256415300
oct261405272240
967442032264
1023825052832
11a116691909
12474ab66394
132328ca42c9
1412202d9600
15946984da7
hex58c1574a0

23825052832 has 72 divisors (see below), whose sum is σ = 57773315124. Its totient is φ = 9610094592.

The previous prime is 23825052827. The next prime is 23825052887.

23825052832 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 22465213456 + 1359839376 = 149884^2 + 36876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420243 + ... + 473554.

Almost surely, 223825052832 is an apocalyptic number.

It is an amenable number.

23825052832 is an abundant number, since it is smaller than the sum of its proper divisors (33948262292).

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

23825052832 is a wasteful number, since it uses less digits than its factorization.

23825052832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893838 (or 893823 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 23825052832 in words is "twenty-three billion, eight hundred twenty-five million, fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 893797 1787594 3575188 6256579 7150376 12513158 14300752 15194549 25026316 28601504 30389098 43796053 50052632 60778196 87592106 100105264 106361843 121556392 175184212 200210528 212723686 243112784 350368424 425447372 486225568 700736848 744532901 850894744 1401473696 1489065802 1701789488 2978131604 3403578976 5956263208 11912526416 23825052832