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23677432896 = 2631347201833
BaseRepresentation
bin10110000011010010…
…001111010001000000
32021010010021012211010
4112003102033101000
5341442410323041
614513253320520
71465514600415
oct260322172100
967103235733
1023677432896
11a050325867
124709636140
132304529830
14120887010c
15938a25a16
hex58348f440

23677432896 has 112 divisors (see below), whose sum is σ = 68901283584. Its totient is φ = 7130320896.

The previous prime is 23677432861. The next prime is 23677432913. The reversal of 23677432896 is 69823477632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16396 + ... + 218228.

It is an arithmetic number, because the mean of its divisors is an integer number (615190032).

Almost surely, 223677432896 is an apocalyptic number.

23677432896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23677432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450641792).

23677432896 is an abundant number, since it is smaller than the sum of its proper divisors (45223850688).

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

23677432896 is a wasteful number, since it uses less digits than its factorization.

23677432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201908 (or 201898 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 57.

The spelling of 23677432896 in words is "twenty-three billion, six hundred seventy-seven million, four hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 141 156 188 192 208 282 312 376 416 564 611 624 752 832 1128 1222 1248 1504 1833 2256 2444 2496 3008 3666 4512 4888 7332 9024 9776 14664 19552 29328 39104 58656 117312 201833 403666 605499 807332 1210998 1614664 2421996 2623829 3229328 4843992 5247658 6458656 7871487 9486151 9687984 10495316 12917312 15742974 18972302 19375968 20990632 28458453 31485948 37944604 38751936 41981264 56916906 62971896 75889208 83962528 113833812 123319963 125943792 151778416 167925056 227667624 246639926 251887584 303556832 369959889 455335248 493279852 503775168 607113664 739919778 910670496 986559704 1479839556 1821340992 1973119408 2959679112 3946238816 5919358224 7892477632 11838716448 23677432896