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3812149843992 = 23327221150910061
BaseRepresentation
bin110111011110010101110…
…101100101100000011000
3111111102211021111001002200
4313132111311211200120
5444424240330001432
612035135533130200
7542263425012600
oct67362565454030
914442737431080
103812149843992
11123a7a6228056
125169a1329960
1321863a9b6c79
14d271ab23c00
1569269504a7c
hex37795d65818

3812149843992 has 288 divisors, whose sum is σ = 12092046735600. Its totient is φ = 1081786406400.

The previous prime is 3812149843891. The next prime is 3812149844011. The reversal of 3812149843992 is 2993489412183.

3812149843992 is a `hidden beast` number, since 3 + 8 + 1 + 21 + 4 + 98 + 439 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 378898642 + ... + 378908702.

Almost surely, 23812149843992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3812149843992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046023367800).

3812149843992 is an abundant number, since it is smaller than the sum of its proper divisors (8279896891608).

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

3812149843992 is a wasteful number, since it uses less digits than its factorization.

3812149843992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10807 (or 10793 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 3812149843992 in words is "three trillion, eight hundred twelve billion, one hundred forty-nine million, eight hundred forty-three thousand, nine hundred ninety-two".