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985060415664 = 2432132241716747
BaseRepresentation
bin11100101010110100010…
…11010001100010110000
310111011121112221220111200
432111122023101202300
5112114400431300124
62032310331211200
7131111500244403
oct16253213214260
93434545856450
10985060415664
1134a841a19086
1213aab28a6b00
1371b77113a00
143596a26bd3a
151a954dd7bc9
hexe55a2d18b0

985060415664 has 180 divisors, whose sum is σ = 2986588473336. Its totient is φ = 302952019968.

The previous prime is 985060415623. The next prime is 985060415683. The reversal of 985060415664 is 466514060589.

985060415664 is a `hidden beast` number, since 98 + 506 + 0 + 41 + 5 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 985060415664.

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, 58811739 + ... + 58828485.

Almost surely, 2985060415664 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 985060415664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493294236668).

985060415664 is an abundant number, since it is smaller than the sum of its proper divisors (2001528057672).

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

985060415664 is a wasteful number, since it uses less digits than its factorization.

985060415664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19204 (or 19182 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 985060415664 in words is "nine hundred eighty-five billion, sixty million, four hundred fifteen thousand, six hundred sixty-four".