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23652425632 = 25112311011951
BaseRepresentation
bin10110000001110010…
…110101111110100000
32021001101012201022011
4112001302311332200
5341420010110012
614511001322304
71465062205063
oct260162657640
967041181264
1023652425632
11a0381a5500
124701196394
1322cc2b2234
1412054008da
159367361a7
hex581cb5fa0

23652425632 has 144 divisors (see below), whose sum is σ = 53385357312. Its totient is φ = 10296000000.

The previous prime is 23652425627. The next prime is 23652425683.

23652425632 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12122257 + ... + 12124207.

It is an arithmetic number, because the mean of its divisors is an integer number (370731648).

Almost surely, 223652425632 is an apocalyptic number.

23652425632 is a gapful number since it is divisible by the number (22) 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 23652425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26692678656).

23652425632 is an abundant number, since it is smaller than the sum of its proper divisors (29732931680).

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

23652425632 is a wasteful number, since it uses less digits than its factorization.

23652425632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2096 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 23652425632 in words is "twenty-three billion, six hundred fifty-two million, four hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 101 121 124 176 202 242 248 341 352 404 484 496 682 808 968 992 1111 1364 1616 1936 1951 2222 2728 3131 3232 3751 3872 3902 4444 5456 6262 7502 7804 8888 10912 12221 12524 15004 15608 17776 21461 24442 25048 30008 31216 34441 35552 42922 48884 50096 60016 60481 62432 68882 85844 97768 100192 120032 120962 137764 171688 195536 197051 236071 241924 275528 343376 378851 391072 394102 472142 483848 551056 665291 686752 757702 788204 944284 967696 1102112 1330582 1515404 1576408 1888568 1935392 2167561 2661164 3030808 3152816 3777136 4335122 5322328 6061616 6108581 6305632 7318201 7554272 8670244 10644656 12123232 12217162 14636402 17340488 21289312 23843171 24434324 29272804 34680976 47686342 48868648 58545608 67194391 69361952 95372684 97737296 117091216 134388782 190745368 195474592 234182432 268777564 381490736 537555128 739138301 762981472 1075110256 1478276602 2150220512 2956553204 5913106408 11826212816 23652425632