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132966229090110 = 235131917944160471
BaseRepresentation
bin11110001110111010011100…
…110110100001111100111110
3122102210110002010100120221120
4132032322130312201330332
5114412004314121340420
61150443501541411410
740002331053026403
oct3616723466417476
9572713063316846
10132966229090110
113940472a998519
1212ab58b5109b66
13592687a6cc670
1424b9857ccc2aa
151058b540e1d40
hex78ee9cda1f3e

132966229090110 has 64 divisors (see below), whose sum is σ = 361754275115520. Its totient is φ = 31007509292160.

The previous prime is 132966229090109. The next prime is 132966229090141. The reversal of 132966229090110 is 11090922669231.

It is a super-2 number, since 2×1329662290901102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8972072826 + ... + 8972087645.

It is an arithmetic number, because the mean of its divisors is an integer number (5652410548680).

Almost surely, 2132966229090110 is an apocalyptic number.

132966229090110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132966229090110 is an abundant number, since it is smaller than the sum of its proper divisors (228788046025410).

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

132966229090110 is a wasteful number, since it uses less digits than its factorization.

132966229090110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17944160513.

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 132966229090110 in words is "one hundred thirty-two trillion, nine hundred sixty-six billion, two hundred twenty-nine million, ninety thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 17944160471 35888320942 53832481413 89720802355 107664962826 179441604710 233274086123 269162407065 340939048949 466548172246 538324814130 681878097898 699822258369 1022817146847 1166370430615 1399644516738 1704695244745 2045634293694 2332740861230 3409390489490 3499111291845 4432207636337 5114085734235 6998222583690 8864415272674 10228171468470 13296622909011 22161038181685 26593245818022 44322076363370 66483114545055 132966229090110