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134369692992 = 263377760239
BaseRepresentation
bin111110100100100001…
…1101100110101000000
3110211211110021122112000
41331021003230311000
54200142120133432
6141421212504000
712464543355033
oct1751103546500
9424743248460
10134369692992
1151a93209157
122206017b000
13c895285ba2
14670997501a
1537667b257c
hex1f490ecd40

134369692992 has 56 divisors (see below), whose sum is σ = 395022019200. Its totient is φ = 44789897088.

The previous prime is 134369692991. The next prime is 134369693053. The reversal of 134369692992 is 299296963431.

134369692992 is a `hidden beast` number, since 1 + 3 + 436 + 96 + 9 + 29 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134369692991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38878392 + ... + 38881847.

Almost surely, 2134369692992 is an apocalyptic number.

134369692992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134369692992 is an abundant number, since it is smaller than the sum of its proper divisors (260652326208).

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

134369692992 is an equidigital number, since it uses as much as digits as its factorization.

134369692992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77760260 (or 77760244 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The spelling of 134369692992 in words is "one hundred thirty-four billion, three hundred sixty-nine million, six hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 77760239 155520478 233280717 311040956 466561434 622081912 699842151 933122868 1244163824 1399684302 1866245736 2099526453 2488327648 2799368604 3732491472 4199052906 4976655296 5598737208 7464982944 8398105812 11197474416 14929965888 16796211624 22394948832 33592423248 44789897664 67184846496 134369692992