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2142591392967 = 38235861148063
BaseRepresentation
bin11111001011011100011…
…001100001110011000111
321120211101212201010120120
4133023130121201303013
5240101011344033332
64320143133233023
7310540261226634
oct37133431416307
97524355633516
102142591392967
11756738a90903
122a72b9632773
13127078c7478c
14759b831d18b
153ab0147e32c
hex1f2dc661cc7

2142591392967 has 16 divisors (see below), whose sum is σ = 2860767049728. Its totient is φ = 1426405618080.

The previous prime is 2142591392947. The next prime is 2142591392987. The reversal of 2142591392967 is 7692931952412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2142591392947) and next prime (2142591392987).

It is not a de Polignac number, because 2142591392967 - 27 = 2142591392839 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2142591392967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142591392947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14396778 + ... + 14544840.

It is an arithmetic number, because the mean of its divisors is an integer number (178797940608).

Almost surely, 22142591392967 is an apocalyptic number.

2142591392967 is a deficient number, since it is larger than the sum of its proper divisors (718175656761).

2142591392967 is a wasteful number, since it uses less digits than its factorization.

2142591392967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154750.

The product of its digits is 14696640, while the sum is 60.

The spelling of 2142591392967 in words is "two trillion, one hundred forty-two billion, five hundred ninety-one million, three hundred ninety-two thousand, nine hundred sixty-seven".

Divisors: 1 3 823 2469 5861 17583 148063 444189 4823603 14470809 121855849 365567547 867797243 2603391729 714197130989 2142591392967