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23625340368 = 24371716724767
BaseRepresentation
bin10110000000001011…
…100001010111010000
32020222111020122022020
4112000023201113100
5341341041342433
614504153011440
71464313036230
oct260013412720
966874218266
1023625340368
11a023985993
1246b40b3b80
1322c67bab56
14120198dcc0
15934185cb3
hex5802e15d0

23625340368 has 160 divisors (see below), whose sum is σ = 74299244544. Its totient is φ = 6314735616.

The previous prime is 23625340331. The next prime is 23625340379. The reversal of 23625340368 is 86304352632.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 941521 + ... + 966287.

Almost surely, 223625340368 is an apocalyptic number.

23625340368 is a gapful number since it is divisible by the number (28) 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 23625340368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149622272).

23625340368 is an abundant number, since it is smaller than the sum of its proper divisors (50673904176).

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

23625340368 is a wasteful number, since it uses less digits than its factorization.

23625340368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24969 (or 24963 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 23625340368 in words is "twenty-three billion, six hundred twenty-five million, three hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 167 168 204 238 272 334 336 357 408 476 501 668 714 816 952 1002 1169 1336 1428 1904 2004 2338 2672 2839 2856 3507 4008 4676 5678 5712 7014 8016 8517 9352 11356 14028 17034 18704 19873 22712 24767 28056 34068 39746 45424 49534 56112 59619 68136 74301 79492 99068 119238 136272 148602 158984 173369 198136 238476 297204 317968 346738 396272 421039 476952 520107 594408 693476 842078 953904 1040214 1188816 1263117 1386952 1684156 2080428 2526234 2773904 2947273 3368312 4136089 4160856 5052468 5894546 6736624 8272178 8321712 8841819 10104936 11789092 12408267 16544356 17683638 20209872 23578184 24816534 28952623 33088712 35367276 47156368 49633068 57905246 66177424 70313513 70734552 86857869 99266136 115810492 140627026 141469104 173715738 198532272 210940539 231620984 281254052 347431476 421881078 463241968 492194591 562508104 694862952 843762156 984389182 1125016208 1389725904 1476583773 1687524312 1968778364 2953167546 3375048624 3937556728 5906335092 7875113456 11812670184 23625340368