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58695721984 = 2106721132
BaseRepresentation
bin110110101010100010…
…011010010000000000
312121111121100121200001
4312222202122100000
51430202101100414
642544153005344
74145351255614
oct665242322000
9177447317601
1058695721984
1122990228749
12b4610b3854
1356c5484c53
142bab57b344
1517d7eba074
hexdaa89a400

58695721984 has 99 divisors (see below), whose sum is σ = 120174930057. Its totient is φ = 28653993984.

The previous prime is 58695721879. The next prime is 58695722053. The reversal of 58695721984 is 48912759685.

It is a happy number.

The square root of 58695721984 is 242272.

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., 1034265600 + 57661456384 = 32160^2 + 240128^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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, 519431112 + ... + 519431224.

Almost surely, 258695721984 is an apocalyptic number.

58695721984 is the 242272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58695721984

58695721984 is an abundant number, since it is smaller than the sum of its proper divisors (61479208073).

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

58695721984 is an frugal number, since it uses more digits than its factorization.

58695721984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 182 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 64.

Multiplying 58695721984 by its sum of digits (64), we get a square (3756526206976 = 19381762).

58695721984 divided by its sum of digits (64) gives a square (917120656 = 302842).

The spelling of 58695721984 in words is "fifty-eight billion, six hundred ninety-five million, seven hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 67 113 128 134 226 256 268 452 512 536 904 1024 1072 1808 2144 3616 4288 4489 7232 7571 8576 8978 12769 14464 15142 17152 17956 25538 28928 30284 34304 35912 51076 57856 60568 68608 71824 102152 115712 121136 143648 204304 242272 287296 408608 484544 507257 574592 817216 855523 969088 1014514 1149184 1634432 1711046 1938176 2029028 2298368 3268864 3422092 3876352 4058056 4596736 6537728 6844184 7752704 8116112 13075456 13688368 16232224 27376736 32464448 54753472 57320041 64928896 109506944 114640082 129857792 219013888 229280164 259715584 438027776 458560328 519431168 876055552 917120656 1834241312 3668482624 7336965248 14673930496 29347860992 58695721984