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23845264704 = 263430714983
BaseRepresentation
bin10110001101010010…
…011101110101000000
32021112211001221210000
4112031102131311000
5342313341432304
614542050440000
71502623256112
oct261522356500
967484057700
1023845264704
11a127037338
124755893000
13233022ccb1
141222c7b3b2
15948628939
hex58d49dd40

23845264704 has 140 divisors (see below), whose sum is σ = 70919811424. Its totient is φ = 7922002176.

The previous prime is 23845264643. The next prime is 23845264717. The reversal of 23845264704 is 40746254832.

It is a happy number.

23845264704 is a `hidden beast` number, since 2 + 3 + 84 + 526 + 47 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23845264704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1583997 + ... + 1598979.

Almost surely, 223845264704 is an apocalyptic number.

23845264704 is a gapful number since it is divisible by the number (24) 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 23845264704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35459905712).

23845264704 is an abundant number, since it is smaller than the sum of its proper divisors (47074546720).

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

23845264704 is a wasteful number, since it uses less digits than its factorization.

23845264704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15314 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 23845264704 in words is "twenty-three billion, eight hundred forty-five million, two hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 307 324 432 576 614 648 864 921 1228 1296 1728 1842 2456 2592 2763 3684 4912 5184 5526 7368 8289 9824 11052 14736 14983 16578 19648 22104 24867 29472 29966 33156 44208 44949 49734 58944 59932 66312 88416 89898 99468 119864 132624 134847 176832 179796 198936 239728 265248 269694 359592 397872 404541 479456 530496 539388 719184 795744 809082 958912 1078776 1213623 1438368 1591488 1618164 2157552 2427246 2876736 3236328 4315104 4599781 4854492 6472656 8630208 9199562 9708984 12945312 13799343 18399124 19417968 25890624 27598686 36798248 38835936 41398029 55197372 73596496 77671872 82796058 110394744 124194087 147192992 165592116 220789488 248388174 294385984 331184232 372582261 441578976 496776348 662368464 745164522 883157952 993552696 1324736928 1490329044 1987105392 2649473856 2980658088 3974210784 5961316176 7948421568 11922632352 23845264704