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58839353664 = 26372132231609
BaseRepresentation
bin110110110011000110…
…010100100101000000
312121212121121212021220
4312303012110211000
51431000333304124
643010323315040
74152044153100
oct666306244500
9177777555256
1058839353664
1122a54310313
12b4a121ba80
135719164300
142bc2689200
1517e58dc879
hexdb3194940

58839353664 has 504 divisors, whose sum is σ = 204751350720. Its totient is φ = 14834147328.

The previous prime is 58839353663. The next prime is 58839353681. The reversal of 58839353664 is 46635393885.

It is a junction number, because it is equal to n+sod(n) for n = 58839353598 and 58839353607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58839353663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36568092 + ... + 36569700.

It is an arithmetic number, because the mean of its divisors is an integer number (406252680).

Almost surely, 258839353664 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 58839353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102375675360).

58839353664 is an abundant number, since it is smaller than the sum of its proper divisors (145911997056).

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

58839353664 is a wasteful number, since it uses less digits than its factorization.

58839353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1657 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 60.

The spelling of 58839353664 in words is "fifty-eight billion, eight hundred thirty-nine million, three hundred fifty-three thousand, six hundred sixty-four".