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23317085952 = 28336595119
BaseRepresentation
bin10101101101110011…
…100111111100000000
32020012000012200202000
4111231303213330000
5340223133222302
614413422024000
71453550650266
oct255563477400
966160180660
1023317085952
119985983876
124628a18000
13227798cba4
1411b2a6c436
1591709631c
hex56dce7f00

23317085952 has 144 divisors (see below), whose sum is σ = 69070848000. Its totient is φ = 7759051776.

The previous prime is 23317085929. The next prime is 23317085989. The reversal of 23317085952 is 25958071332.

23317085952 is a `hidden beast` number, since 23 + 31 + 7 + 0 + 8 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 23317085898 and 23317085907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4552449 + ... + 4557567.

Almost surely, 223317085952 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 23317085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34535424000).

23317085952 is an abundant number, since it is smaller than the sum of its proper divisors (45753762048).

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

23317085952 is an equidigital number, since it uses as much as digits as its factorization.

23317085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 23317085952 in words is "twenty-three billion, three hundred seventeen million, eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 659 768 864 1152 1318 1728 1977 2304 2636 3456 3954 5119 5272 5931 6912 7908 10238 10544 11862 15357 15816 17793 20476 21088 23724 30714 31632 35586 40952 42176 46071 47448 61428 63264 71172 81904 84352 92142 94896 122856 126528 138213 142344 163808 168704 184284 189792 245712 253056 276426 284688 327616 368568 379584 491424 506112 552852 569376 655232 737136 759168 982848 1105704 1138752 1310464 1474272 1518336 1965696 2211408 2277504 2948544 3373421 3931392 4422816 4555008 5897088 6746842 8845632 10120263 11794176 13493684 17691264 20240526 26987368 30360789 35382528 40481052 53974736 60721578 80962104 91082367 107949472 121443156 161924208 182164734 215898944 242886312 323848416 364329468 431797888 485772624 647696832 728658936 863595776 971545248 1295393664 1457317872 1943090496 2590787328 2914635744 3886180992 5829271488 7772361984 11658542976 23317085952