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238601024042164 = 22747279223218971
BaseRepresentation
bin110110010000000110100001…
…010001111111010010110100
31011021211000221121111000011121
4312100012201101333102310
5222233214344123322124
62203243444111513324
7101154232543055050
oct6620064121772264
91137730847430147
10238601024042164
116a031142835173
1222916588228844
13a319c98156b94
1442cc4cb8dcc60
151c8b8609cb2e4
hexd901a147f4b4

238601024042164 has 144 divisors (see below), whose sum is σ = 495959457710080. Its totient is φ = 98371463186880.

The previous prime is 238601024042137. The next prime is 238601024042179. The reversal of 238601024042164 is 461240420106832.

It is a self number, because there is not a number n which added to its sum of digits gives 238601024042164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089537199 + ... + 1089756169.

Almost surely, 2238601024042164 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 238601024042164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247979728855040).

238601024042164 is an abundant number, since it is smaller than the sum of its proper divisors (257358433667916).

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

238601024042164 is a wasteful number, since it uses less digits than its factorization.

238601024042164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219378 (or 219329 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

Adding to 238601024042164 its reverse (461240420106832), we get a palindrome (699841444148996).

The spelling of 238601024042164 in words is "two hundred thirty-eight trillion, six hundred one billion, twenty-four million, forty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 79 94 158 188 223 316 329 446 553 658 892 1106 1316 1561 2209 2212 3122 3713 4418 6244 7426 8836 10481 14852 15463 17617 20962 25991 30926 35234 41924 51982 61852 70468 73367 103964 123319 146734 174511 218971 246638 293468 349022 437942 492607 493276 698044 827999 875884 985214 1221577 1532797 1655998 1970428 2443154 3065594 3311996 3448249 4886308 5795993 6131188 6896498 10291637 11591986 13792996 17298709 20583274 23183972 34597418 38915953 41166548 48830533 69194836 72041459 77831906 97661066 121090963 144082918 155663812 195322132 242181926 272411671 288165836 341813731 483706939 484363852 544823342 683627462 813039323 967413878 1089646684 1367254924 1626078646 1934827756 2295035051 3252157292 3385948573 3857612107 4590070102 5691275261 6771897146 7715224214 9180140204 11382550522 13543794292 15430448428 16065245357 22765101044 27003284749 32130490714 38212848181 54006569498 64260981428 76425696362 107866647397 108013138996 152851392724 181307769029 215733294794 267489937267 362615538058 431466589588 534979874534 725231076116 755066531779 1069959749068 1269154383203 1510133063558 2538308766406 3020266127116 5076617532812 8521465144363 17042930288726 34085860577452 59650256010541 119300512021082 238601024042164