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58973231304 = 233413127199277
BaseRepresentation
bin110110111011000101…
…000001100011001000
312122012221112112220000
4312323011001203020
51431234121400204
643031505003000
74155261123651
oct667305014310
9178187475800
1058973231304
1123012940599
12b51a023460
13573ab09a50
142bd6378528
151802535039
hexdbb1418c8

58973231304 has 320 divisors, whose sum is σ = 180837888000. Its totient is φ = 17847599616.

The previous prime is 58973231249. The next prime is 58973231309. The reversal of 58973231304 is 40313237985.

58973231304 is a `hidden beast` number, since 589 + 7 + 3 + 2 + 31 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 58973231304.

It is not an unprimeable number, because it can be changed into a prime (58973231309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212899614 + ... + 212899890.

It is an arithmetic number, because the mean of its divisors is an integer number (565118400).

Almost surely, 258973231304 is an apocalyptic number.

58973231304 is a gapful number since it is divisible by the number (54) 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 58973231304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90418944000).

58973231304 is an abundant number, since it is smaller than the sum of its proper divisors (121864656696).

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

58973231304 is a wasteful number, since it uses less digits than its factorization.

58973231304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 58973231304 in words is "fifty-eight billion, nine hundred seventy-three million, two hundred thirty-one thousand, three hundred four".