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133054206636312 = 233213264007170837
BaseRepresentation
bin11110010000001100011000…
…101110001111000100011000
3122110002212011102122000000200
4132100030120232033010120
5114414430003344330222
61150552131513502200
740011564163602243
oct3620143056170430
9573085142560020
10133054206636312
1139438a76a26095
1212b0a968711960
135931c5b515300
1424bdc0236825a
15105b0a2b22eac
hex790318b8f118

133054206636312 has 144 divisors (see below), whose sum is σ = 390215428752240. Its totient is φ = 40938876635904.

The previous prime is 133054206636271. The next prime is 133054206636371. The reversal of 133054206636312 is 213636602450331.

133054206636312 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 4 + 2 + 0 + 6 + 6 + 3 + 631 + 2 = 666.

It is a super-2 number, since 2×1330542066363122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 778751758 + ... + 778922594.

It is an arithmetic number, because the mean of its divisors is an integer number (2709829366335).

Almost surely, 2133054206636312 is an apocalyptic number.

133054206636312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133054206636312 is an abundant number, since it is smaller than the sum of its proper divisors (257161222115928).

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

133054206636312 is a wasteful number, since it uses less digits than its factorization.

133054206636312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234882 (or 234862 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 133054206636312 in words is "one hundred thirty-three trillion, fifty-four billion, two hundred six million, six hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 64007 128014 170837 192021 256028 341674 384042 512056 512511 576063 683348 768084 832091 1025022 1152126 1366696 1536168 1537533 1664182 2050044 2220881 2304252 2496273 3075066 3328364 4100088 4441762 4608504 4992546 6150132 6656728 6662643 7488819 8883524 9985092 10817183 12300264 13325286 14977638 17767048 19970184 19987929 21634366 26650572 28871453 29955276 32451549 39975858 43268732 53301144 57742906 59910552 64903098 79951716 86537464 86614359 97354647 115485812 129806196 159903432 173228718 194709294 230971624 259612392 259843077 346457436 389418588 519686154 692914872 778837176 1039372308 2078744616 10934763859 21869527718 32804291577 43739055436 65608583154 87478110872 98412874731 131217166308 142151930167 196825749462 262434332616 284303860334 393651498924 426455790501 568607720668 787302997848 852911581002 1137215441336 1279367371503 1705823162004 1847975092171 2558734743006 3411646324008 3695950184342 5117469486012 5543925276513 7391900368684 10234938972024 11087850553026 14783800737368 16631775829539 22175701106052 33263551659078 44351402212104 66527103318156 133054206636312