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86538078121266 = 232294110140034233
BaseRepresentation
bin10011101011010010110111…
…011001111110110100110010
3102100101221220110022021021100
4103223102313121332310302
542320314440444340031
6504015013321105230
724141112151160042
oct2353226731766462
9370357813267240
1086538078121266
11256346580690a2
1298577ab328216
13393967619b185
141752672c13722
15a010c240ade6
hex4eb4b767ed32

86538078121266 has 96 divisors (see below), whose sum is σ = 200662790393520. Its totient is φ = 26903003904000.

The previous prime is 86538078121249. The next prime is 86538078121273. The reversal of 86538078121266 is 66212187083568.

86538078121266 is a `hidden beast` number, since 8 + 6 + 5 + 380 + 78 + 121 + 2 + 66 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64880270219241 + 21657807902025 = 8054829^2 + 4653795^2 .

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, 17855515 + ... + 22178718.

Almost surely, 286538078121266 is an apocalyptic number.

86538078121266 is an abundant number, since it is smaller than the sum of its proper divisors (114124712272254).

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

86538078121266 is a wasteful number, since it uses less digits than its factorization.

86538078121266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40034412 (or 40034409 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 86538078121266 in words is "eighty-six trillion, five hundred thirty-eight billion, seventy-eight million, one hundred twenty-one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 101 123 174 202 246 261 303 369 522 606 738 909 1189 1818 2378 2929 3567 4141 5858 7134 8282 8787 10701 12423 17574 21402 24846 26361 37269 52722 74538 120089 240178 360267 720534 1080801 2161602 40034233 80068466 120102699 240205398 360308097 720616194 1160992757 1641403553 2321985514 3282807106 3482978271 4043457533 4924210659 6965956542 8086915066 9848421318 10448934813 12130372599 14772631977 20897869626 24260745198 29545263954 36391117797 47600703037 72782235594 95201406074 117260268457 142802109111 165781758853 234520536914 285604218222 331563517706 351780805371 428406327333 497345276559 703561610742 856812654666 994690553118 1055342416113 1492035829677 2110684832226 2984071659354 4807671006737 9615342013474 14423013020211 28846026040422 43269039060633 86538078121266