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134672873854896 = 2433133227625087
BaseRepresentation
bin11110100111101111111000…
…110011101001011110110000
3122122211121020010120102212000
4132213233320303221132300
5120122440021201324041
61154231510353534000
740236536234131146
oct3647577063513660
9578747203512760
10134672873854896
1139a02499416153
1213130608b74300
135a1b79c971000
1425382b7d25596
15108823ce59bb6
hex7a7bf8ce97b0

134672873854896 has 320 divisors, whose sum is σ = 420605212876800. Its totient is φ = 41255195933952.

The previous prime is 134672873854861. The next prime is 134672873854903. The reversal of 134672873854896 is 698458378276431.

134672873854896 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 72 + 87 + 385 + 4 + 8 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215134065 + ... + 215759151.

It is an arithmetic number, because the mean of its divisors is an integer number (1314391290240).

Almost surely, 2134672873854896 is an apocalyptic number.

134672873854896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134672873854896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210302606438400).

134672873854896 is an abundant number, since it is smaller than the sum of its proper divisors (285932339021904).

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

134672873854896 is a wasteful number, since it uses less digits than its factorization.

134672873854896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625370 (or 625332 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 134672873854896 in words is "one hundred thirty-four trillion, six hundred seventy-two billion, eight hundred seventy-three million, eight hundred fifty-four thousand, eight hundred ninety-six".