Search a number
-
+
56990088475684 = 2272132414792
BaseRepresentation
bin11001111010101000010011…
…11110101011010000100100
321110210012101020211122012221
430331110021332223100210
524432211200122210214
6321112515112322124
715001253343213100
oct1475241176532044
9243705336748187
1056990088475684
11171823a7241521
1264850893a3344
1325a51b079b300
14101049934c900
1568c69a12ae24
hex33d509fab424

56990088475684 has 81 divisors (see below), whose sum is σ = 125629320564657. Its totient is φ = 22544985966048.

The previous prime is 56990088475613. The next prime is 56990088475739. The reversal of 56990088475684 is 48657488009965.

The square root of 56990088475684 is 7549178.

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

56990088475684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8430486460900 + 48559602014784 = 2903530^2 + 6968472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1373929657 + ... + 1373971135.

Almost surely, 256990088475684 is an apocalyptic number.

56990088475684 is the 7549178-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56990088475684

56990088475684 is an abundant number, since it is smaller than the sum of its proper divisors (68639232088973).

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

56990088475684 is an frugal number, since it uses more digits than its factorization.

56990088475684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83002 (or 41501 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 79.

The spelling of 56990088475684 in words is "fifty-six trillion, nine hundred ninety billion, eighty-eight million, four hundred seventy-five thousand, six hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 16562 33124 41479 82958 165916 290353 539227 580706 1078454 1161412 2032471 2156908 3774589 4064942 7009951 7549178 8129884 14019902 15098356 26422123 28039804 49069657 52844246 98139314 105688492 196278628 343487599 686975198 1373950396 1720507441 3441014882 6882029764 12043552087 22366596733 24087104174 44733193466 48174208348 84304864609 89466386932 156566177131 168609729218 290765757529 313132354262 337219458436 581531515058 626264708524 1095963239917 1163063030116 2035360302703 2191926479834 4070720605406 4383852959668 8141441210812 14247522118921 28495044237842 56990088475684