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286642040832 = 2123272891783
BaseRepresentation
bin1000010101111010011…
…00100111000000000000
31000101212120120101121200
410022331030213000000
514144020330301312
6335403113421200
726465154101100
oct4127514470000
91011776511550
10286642040832
11100622a60924
1247677a0a800
1321051548064
14dc33037200
1576c9b000dc
hex42bd327000

286642040832 has 468 divisors, whose sum is σ = 974523897360. Its totient is φ = 80932110336.

The previous prime is 286642040807. The next prime is 286642040843. The reversal of 286642040832 is 238040246682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160763013 + ... + 160764795.

It is an arithmetic number, because the mean of its divisors is an integer number (2082316020).

Almost surely, 2286642040832 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 286642040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487261948680).

286642040832 is an abundant number, since it is smaller than the sum of its proper divisors (687881856528).

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

286642040832 is a wasteful number, since it uses less digits than its factorization.

286642040832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 286642040832 in words is "two hundred eighty-six billion, six hundred forty-two million, forty thousand, eight hundred thirty-two".