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23506400752 = 24172331611987
BaseRepresentation
bin10101111001000101…
…110011010111110000
32020200012102212211021
4111321011303113300
5341120114311002
614444303425224
71461340052422
oct257105632760
966605385737
1023506400752
119a7282888a
1246802b5214
1322a7c75793
1411cdc6c812
159289de737
hex5791735f0

23506400752 has 160 divisors (see below), whose sum is σ = 52820619264. Its totient is φ = 10066636800.

The previous prime is 23506400719. The next prime is 23506400833. The reversal of 23506400752 is 25700460532.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 31 ways as a sum of consecutive naturals, for example, 11829103 + ... + 11831089.

Almost surely, 223506400752 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 23506400752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26410309632).

23506400752 is an abundant number, since it is smaller than the sum of its proper divisors (29314218512).

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

23506400752 is a wasteful number, since it uses less digits than its factorization.

23506400752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 23506400752 in words is "twenty-three billion, five hundred six million, four hundred thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 23 31 34 46 61 62 68 92 122 124 136 184 244 248 272 368 391 488 496 527 713 782 976 1037 1054 1403 1426 1564 1891 1987 2074 2108 2806 2852 3128 3782 3974 4148 4216 5612 5704 6256 7564 7948 8296 8432 11224 11408 12121 15128 15896 16592 22448 23851 24242 30256 31792 32147 33779 43493 45701 47702 48484 61597 64294 67558 86986 91402 95404 96968 121207 123194 128588 135116 173972 182804 190808 193936 242414 246388 257176 270232 347944 365608 381616 484828 492776 514352 540464 695888 731216 739381 776917 969656 985552 1047149 1416731 1478762 1553834 1939312 2060519 2094298 2787761 2833462 2957524 3107668 3757417 4121038 4188596 5575522 5666924 5915048 6215336 7514834 8242076 8377192 11151044 11333848 11830096 12430672 15029668 16484152 16754384 22302088 22667696 24084427 30059336 32968304 44604176 47391937 48168854 60118672 63876089 86420591 94783874 96337708 127752178 172841182 189567748 192675416 255504356 345682364 379135496 385350832 511008712 691364728 758270992 1022017424 1382729456 1469150047 2938300094 5876600188 11753200376 23506400752