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398789131680 = 253353711322079
BaseRepresentation
bin1011100110110011010…
…11110011110110100000
31102010100022002212221000
411303121223303312200
523013210004203210
6503111243032000
740545236455452
oct5633153636640
91363308085830
10398789131680
11144142083085
126535580b600
132b7b4810004
14154314442d2
15a590462ac0
hex5cd9af3da0

398789131680 has 384 divisors, whose sum is σ = 1446236467200. Its totient is φ = 102549307392.

The previous prime is 398789131649. The next prime is 398789131733. The reversal of 398789131680 is 86131987893.

398789131680 is a `hidden beast` number, since 3 + 98 + 78 + 91 + 316 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18050881 + ... + 18072959.

It is an arithmetic number, because the mean of its divisors is an integer number (3766240800).

Almost surely, 2398789131680 is an apocalyptic number.

398789131680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398789131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723118233600).

398789131680 is an abundant number, since it is smaller than the sum of its proper divisors (1047447335520).

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

398789131680 is a wasteful number, since it uses less digits than its factorization.

398789131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22253 (or 22239 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 398789131680 in words is "three hundred ninety-eight billion, seven hundred eighty-nine million, one hundred thirty-one thousand, six hundred eighty".