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58866405376 = 2121722232
BaseRepresentation
bin110110110100101101…
…100001000000000000
312121221111112020021011
4312310231201000000
51431024244433001
643013131210304
74152523122052
oct666455410000
9177844466234
1058866405376
1122a686076a9
12b4aa2a6994
13572194633c
142bc60cb8d2
1517e7e82d51
hexdb4b61000

58866405376 has 117 divisors (see below), whose sum is σ = 125613662061. Its totient is φ = 27577614336.

The previous prime is 58866405361. The next prime is 58866405383. The reversal of 58866405376 is 67350466885.

The square root of 58866405376 is 242624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45830246400 + 13036158976 = 214080^2 + 114176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58866405376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 263974801 + ... + 263975023.

Almost surely, 258866405376 is an apocalyptic number.

58866405376 is the 242624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58866405376

58866405376 is an abundant number, since it is smaller than the sum of its proper divisors (66747256685).

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

58866405376 is an frugal number, since it uses more digits than its factorization.

58866405376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 58866405376 in words is "fifty-eight billion, eight hundred sixty-six million, four hundred five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 223 256 272 289 446 512 544 578 892 1024 1088 1156 1784 2048 2176 2312 3568 3791 4096 4352 4624 7136 7582 8704 9248 14272 15164 17408 18496 28544 30328 34816 36992 49729 57088 60656 64447 69632 73984 99458 114176 121312 128894 147968 198916 228352 242624 257788 295936 397832 456704 485248 515576 591872 795664 845393 913408 970496 1031152 1183744 1591328 1690786 1940992 2062304 3182656 3381572 3881984 4124608 6365312 6763144 7763968 8249216 12730624 13526288 14371681 15527936 16498432 25461248 27052576 28743362 32996864 50922496 54105152 57486724 65993728 101844992 108210304 114973448 131987456 203689984 216420608 229946896 263974912 432841216 459893792 865682432 919787584 1731364864 1839575168 3462729728 3679150336 7358300672 14716601344 29433202688 58866405376