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12861141372 = 22323311079317
BaseRepresentation
bin10111111101001010…
…10111000101111100
31020012022111200020100
423332211113011330
5202314423010442
65524110521100
7633465616662
oct137645270574
936168450210
1012861141372
1154aa862962
1225ab206190
13129c6a4031
148a0140c32
1550417384c
hex2fe95717c

12861141372 has 36 divisors (see below), whose sum is σ = 32608355416. Its totient is φ = 4274091360.

The previous prime is 12861141367. The next prime is 12861141379. The reversal of 12861141372 is 27314116821.

12861141372 is a `hidden beast` number, since 1 + 2 + 8 + 611 + 4 + 1 + 37 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12861141379) 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, 527743 + ... + 551574.

Almost surely, 212861141372 is an apocalyptic number.

12861141372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12861141372 is an abundant number, since it is smaller than the sum of its proper divisors (19747214044).

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

12861141372 is a wasteful number, since it uses less digits than its factorization.

12861141372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079658 (or 1079653 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The spelling of 12861141372 in words is "twelve billion, eight hundred sixty-one million, one hundred forty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 331 662 993 1324 1986 2979 3972 5958 11916 1079317 2158634 3237951 4317268 6475902 9713853 12951804 19427706 38855412 357253927 714507854 1071761781 1429015708 2143523562 3215285343 4287047124 6430570686 12861141372