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3879076055040 = 2113454676741
BaseRepresentation
bin111000011100101010111…
…100110100100000000000
3111201211120110221211020000
4320130222330310200000
51002023321432230130
612130004542120000
7550153056302454
oct70345274644000
914654513854200
103879076055040
11126611a33aa7a
1252795a880000
13221a45382a94
14d5a69406664
156ad84d48260
hex3872af34800

3879076055040 has 240 divisors, whose sum is σ = 13903813663740. Its totient is φ = 1034420060160.

The previous prime is 3879076054981. The next prime is 3879076055069. The reversal of 3879076055040 is 405506709783.

3879076055040 is a `hidden beast` number, since 3 + 8 + 79 + 0 + 7 + 60 + 5 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3533557810176 + 345518244864 = 1879776^2 + 587808^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1508931 + ... + 3167810.

Almost surely, 23879076055040 is an apocalyptic number.

3879076055040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3879076055040 is an abundant number, since it is smaller than the sum of its proper divisors (10024737608700).

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

3879076055040 is an equidigital number, since it uses as much as digits as its factorization.

3879076055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676780 (or 4676751 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 3879076055040 in words is "three trillion, eight hundred seventy-nine billion, seventy-six million, fifty-five thousand, forty".