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134934681672 = 233271715748679
BaseRepresentation
bin111110110101010111…
…0111101100001001000
3110220021211102001021200
41331222232331201020
54202321234303142
6141553234304200
712514543604250
oct1755256754110
9426254361250
10134934681672
115225312354a
1222199428060
13c95534380b
146760a06960
15379b1b664c
hex1f6abbd848

134934681672 has 96 divisors (see below), whose sum is σ = 442222934400. Its totient is φ = 36284954112.

The previous prime is 134934681641. The next prime is 134934681683. The reversal of 134934681672 is 276186439431.

134934681672 is a `hidden beast` number, since 1 + 3 + 493 + 4 + 6 + 81 + 6 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7865772 + ... + 7882907.

It is an arithmetic number, because the mean of its divisors is an integer number (4606488900).

Almost surely, 2134934681672 is an apocalyptic number.

134934681672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134934681672 is an abundant number, since it is smaller than the sum of its proper divisors (307288252728).

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

134934681672 is a wasteful number, since it uses less digits than its factorization.

134934681672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15748715 (or 15748708 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 134934681672 in words is "one hundred thirty-four billion, nine hundred thirty-four million, six hundred eighty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 15748679 31497358 47246037 62994716 94492074 110240753 125989432 141738111 188984148 220481506 267727543 283476222 330722259 377968296 440963012 535455086 566952444 661444518 803182629 881926024 992166777 1070910172 1133904888 1322889036 1606365258 1874092801 1984333554 2141820344 2409547887 2645778072 3212730516 3748185602 3968667108 4819095774 5622278403 6425461032 7496371204 7937334216 9638191548 11244556806 14992742408 16866835209 19276383096 22489113612 33733670418 44978227224 67467340836 134934681672