Search a number
-
+
104135874777 = 33113111310511
BaseRepresentation
bin110000011111011111…
…0110101100011011001
3100221210102000112212000
41200332332311203121
53201232240443102
6115501145111213
710344404221314
oct1407676654331
9327712015760
10104135874777
1140188a94030
1218222a88509
139a8762591c
14507c46397b
152a9739e01c
hex183efb58d9

104135874777 has 32 divisors (see below), whose sum is σ = 173729464320. Its totient is φ = 61076754000.

The previous prime is 104135874727. The next prime is 104135874797. The reversal of 104135874777 is 777478531401.

104135874777 is a `hidden beast` number, since 1 + 0 + 4 + 13 + 587 + 47 + 7 + 7 = 666.

It is not a de Polignac number, because 104135874777 - 27 = 104135874649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104135874727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5646049 + ... + 5664462.

It is an arithmetic number, because the mean of its divisors is an integer number (5429045760).

Almost surely, 2104135874777 is an apocalyptic number.

It is an amenable number.

104135874777 is a deficient number, since it is larger than the sum of its proper divisors (69593589543).

104135874777 is a wasteful number, since it uses less digits than its factorization.

104135874777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310562 (or 11310556 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 104135874777 in words is "one hundred four billion, one hundred thirty-five million, eight hundred seventy-four thousand, seven hundred seventy-seven".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 9207 11310511 33931533 101794599 124415621 305383797 350625841 373246863 1051877523 1119740589 3155632569 3359221767 3856884251 9466897707 11570652753 34711958259 104135874777