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136074837672 = 233217111172253
BaseRepresentation
bin111111010111010110…
…0010011111010101000
3111000020021210222021200
41332232230103322220
54212140124301142
6142302324004200
712555030015234
oct1765654237250
9430207728250
10136074837672
1152788775634
1222457230660
13caa7614037
14682c1d95c4
15381633064c
hex1faeb13ea8

136074837672 has 48 divisors (see below), whose sum is σ = 390214611540. Its totient is φ = 42690144768.

The previous prime is 136074837641. The next prime is 136074837677. The reversal of 136074837672 is 276738470631.

136074837672 is a `hidden beast` number, since 1 + 360 + 74 + 83 + 76 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135104764356 + 970073316 = 367566^2 + 31146^2 .

It is a super-2 number, since 2×1360748376722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136074837677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55584903 + ... + 55587350.

Almost surely, 2136074837672 is an apocalyptic number.

136074837672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136074837672 is an abundant number, since it is smaller than the sum of its proper divisors (254139773868).

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

136074837672 is a wasteful number, since it uses less digits than its factorization.

136074837672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111172282 (or 111172275 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 136074837672 in words is "one hundred thirty-six billion, seventy-four million, eight hundred thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 111172253 222344506 333516759 444689012 667033518 889378024 1000550277 1334067036 1889928301 2001100554 2668134072 3779856602 4002201108 5669784903 7559713204 8004402216 11339569806 15119426408 17009354709 22679139612 34018709418 45358279224 68037418836 136074837672