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83475011057438 = 2711131919011154401
BaseRepresentation
bin10010111110101110001010…
…011000011011011100011110
3101221120010121001020012110102
4102332232022120123130132
541420123310312314223
6453311520215341102
723403604406545130
oct2276561230333436
9357503531205412
1083475011057438
112466360a609970
129442024381792
133776876678630
1416882d7da5050
1599b59b074928
hex4beb8a61b71e

83475011057438 has 128 divisors (see below), whose sum is σ = 177059038786560. Its totient is φ = 28425945600000.

The previous prime is 83475011057407. The next prime is 83475011057441.

83475011057438 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71733038 + ... + 72887438.

It is an arithmetic number, because the mean of its divisors is an integer number (1383273740520).

Almost surely, 283475011057438 is an apocalyptic number.

83475011057438 is an abundant number, since it is smaller than the sum of its proper divisors (93584027729122).

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

83475011057438 is a wasteful number, since it uses less digits than its factorization.

83475011057438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156354.

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 83475011057438 in words is "eighty-three trillion, four hundred seventy-five billion, eleven million, fifty-seven thousand, four hundred thirty-eight".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 133 143 154 182 209 247 266 286 418 494 1001 1463 1729 1901 2002 2717 2926 3458 3802 5434 13307 19019 20911 24713 26614 36119 38038 41822 49426 72238 146377 172991 252833 271843 292754 345982 397309 469547 505666 543686 794618 939094 1154401 1902901 2308802 2781163 3286829 3805802 5165017 5562326 6573658 8080807 10330034 12698411 15007213 16161614 21933619 25396822 30014426 36155119 43867238 72310238 88888877 105050491 153535333 165079343 177777754 210100982 241269809 285137047 307070666 330158686 482539618 570274094 1155555401 1688888663 1995959329 2194516301 2311110802 3136507517 3377777326 3991918658 4389032602 6273015034 15361614107 21955552619 24139679311 28528711913 30723228214 41695809719 43911105238 48279358622 57057423826 83391619438 168977755177 199700983391 291870668033 313815831043 337955510354 399401966782 458653906909 542045526347 583741336066 627631662086 917307813818 1084091052694 2196710817301 3210577348363 3794318684429 4393421634602 5962500789817 6421154696726 7588637368858 11925001579634 41737505528719 83475011057438