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3978290140164 = 2232831331422403
BaseRepresentation
bin111001111001000100100…
…100100001010000000100
3112002022122212202112221100
4321321010210201100010
51010140014233441124
612243333512220100
7560264511150114
oct71710444412004
915068585675840
103978290140164
1112a420208564a
1254302939a630
1322b1c7101722
14da79bd27044
156d74008e1c9
hex39e44921404

3978290140164 has 36 divisors (see below), whose sum is σ = 10177392856176. Its totient is φ = 1310119643568.

The previous prime is 3978290140163. The next prime is 3978290140177. The reversal of 3978290140164 is 4610410928793.

3978290140164 is a `hidden beast` number, since 3 + 97 + 8 + 2 + 90 + 1 + 401 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3978290140164.

It is not an unprimeable number, because it can be changed into a prime (3978290140163) 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, 665708214 + ... + 665714189.

It is an arithmetic number, because the mean of its divisors is an integer number (282705357116).

Almost surely, 23978290140164 is an apocalyptic number.

It is an amenable number.

3978290140164 is an abundant number, since it is smaller than the sum of its proper divisors (6199102716012).

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

3978290140164 is a wasteful number, since it uses less digits than its factorization.

3978290140164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331422496 (or 1331422491 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3978290140164 in words is "three trillion, nine hundred seventy-eight billion, two hundred ninety million, one hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 1331422403 2662844806 3994267209 5325689612 7988534418 11982801627 15977068836 23965603254 47931206508 110508059449 221016118898 331524178347 442032237796 663048356694 994572535041 1326096713388 1989145070082 3978290140164