Search a number
-
+
133060412356656 = 24329591620158927
BaseRepresentation
bin11110010000010010001010…
…100111001011100000110000
3122110010110011220210020221220
4132100102022213023200300
5114420030211030403111
61150555035355545040
740012204026421341
oct3620221247134060
9573113156706856
10133060412356656
1139440670996694
1212b0bbbaa5b180
13593270a0bbc95
1424c02306080c8
15105b317844e06
hex79048a9cb830

133060412356656 has 80 divisors (see below), whose sum is σ = 361619472729600. Its totient is φ = 42098209533184.

The previous prime is 133060412356649. The next prime is 133060412356679. The reversal of 133060412356656 is 656653214060331.

133060412356656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133060412356599 and 133060412356608.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 809997336 + ... + 810161591.

It is an arithmetic number, because the mean of its divisors is an integer number (4520243409120).

Almost surely, 2133060412356656 is an apocalyptic number.

133060412356656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133060412356656 is an abundant number, since it is smaller than the sum of its proper divisors (228559060372944).

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

133060412356656 is a wasteful number, since it uses less digits than its factorization.

133060412356656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620159026 (or 1620159020 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 51.

The spelling of 133060412356656 in words is "one hundred thirty-three trillion, sixty billion, four hundred twelve million, three hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 59 87 116 118 174 177 232 236 348 354 464 472 696 708 944 1392 1416 1711 2832 3422 5133 6844 10266 13688 20532 27376 41064 82128 1620158927 3240317854 4860476781 6480635708 9720953562 12961271416 19441907124 25922542832 38883814248 46984608883 77767628496 93969217766 95589376693 140953826649 187938435532 191178753386 281907653298 286768130079 375876871064 382357506772 563815306596 573536260158 751753742128 764715013544 1127630613192 1147072520316 1529430027088 2255261226384 2294145040632 2772091924097 4588290081264 5544183848194 8316275772291 11088367696388 16632551544582 22176735392776 33265103089164 44353470785552 66530206178328 133060412356656