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133060013140068 = 223274112878437199
BaseRepresentation
bin11110010000010001110010…
…110100010010100001100100
3122110010102011002120221202100
4132100101302310102201210
5114420023401330440233
61150554532015212100
740012161111221520
oct3620216264224144
9573112132527670
10133060013140068
1139440486606323
1212b0bb09217030
135932675493151
1424c01d35a8d80
15105b2e2788813
hex790472d12864

133060013140068 has 72 divisors (see below), whose sum is σ = 393771095827200. Its totient is φ = 37089899130240.

The previous prime is 133060013140051. The next prime is 133060013140069. The reversal of 133060013140068 is 860041310060331.

133060013140068 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 60 + 0 + 131 + 400 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133060013140069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6439208268 + ... + 6439228931.

It is an arithmetic number, because the mean of its divisors is an integer number (5469042997600).

Almost surely, 2133060013140068 is an apocalyptic number.

133060013140068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133060013140068 is an abundant number, since it is smaller than the sum of its proper divisors (260711082687132).

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

133060013140068 is a wasteful number, since it uses less digits than its factorization.

133060013140068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878437257 (or 12878437252 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 133060013140068 in words is "one hundred thirty-three trillion, sixty billion, thirteen million, one hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 12878437199 25756874398 38635311597 51513748796 77270623194 90149060393 115905934791 154541246388 180298120786 231811869582 270447181179 360596241572 463623739164 528015925159 540894362358 811341543537 1056031850318 1081788724716 1584047775477 1622683087074 2112063700636 3168095550954 3245366174148 3696111476113 4752143326431 6336191101908 7392222952226 9504286652862 11088334428339 14784445904452 19008573305724 22176668856678 33265003285017 44353337713356 66530006570034 133060013140068