Search a number
-
+
56688051562740 = 223251324225663061
BaseRepresentation
bin11001110001110101101110…
…01011010010100011110100
321102201022202210002201012200
430320322313023102203310
524412234112200001430
6320322044213144500
714640401522625633
oct1470726713224364
9242638683081180
1056688051562740
11170762a42863a4
12643663592b130
13258287796c990
14ddda058a351a
156848bdc17460
hex338eb72d28f4

56688051562740 has 72 divisors (see below), whose sum is σ = 185180968445928. Its totient is φ = 13953981922560.

The previous prime is 56688051562717. The next prime is 56688051562763. The reversal of 56688051562740 is 4726515088665.

56688051562740 is a `hidden beast` number, since 5 + 6 + 68 + 8 + 0 + 5 + 1 + 562 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56688051562717) and next prime (56688051562763).

It can be written as a sum of positive squares in 4 ways, for example, as 1441714109796 + 55246337452944 = 1200714^2 + 7432788^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12112829191 + ... + 12112833870.

Almost surely, 256688051562740 is an apocalyptic number.

It is an amenable number.

56688051562740 is an abundant number, since it is smaller than the sum of its proper divisors (128492916883188).

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

56688051562740 is a wasteful number, since it uses less digits than its factorization.

56688051562740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24225663089 (or 24225663084 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 56688051562740 in words is "fifty-six trillion, six hundred eighty-eight billion, fifty-one million, five hundred sixty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 24225663061 48451326122 72676989183 96902652244 121128315305 145353978366 218030967549 242256630610 290707956732 314933619793 363384945915 436061935098 484513261220 629867239586 726769891830 872123870196 944800859379 1090154837745 1259734479172 1453539783660 1574668098965 1889601718758 2180309675490 2834402578137 3149336197930 3779203437516 4360619350980 4724004296895 5668805156274 6298672395860 9448008593790 11337610312548 14172012890685 18896017187580 28344025781370 56688051562740