Search a number
-
+
57289166750079 = 32111121351607817
BaseRepresentation
bin11010000011010101011000…
…11011110000000101111111
321111211210100112101011010200
431001222230123300011333
530002111203142000304
6321502140241534543
715032001646462665
oct1501525433600577
9244753315334120
1057289166750079
1117288221117720
126513036044453
1325c7464667844
141020b4bcbac35
1569535191ae39
hex341aac6f017f

57289166750079 has 24 divisors (see below), whose sum is σ = 90281891084112. Its totient is φ = 34717609979520.

The previous prime is 57289166750063. The next prime is 57289166750087. The reversal of 57289166750079 is 97005766198275.

57289166750079 is a `hidden beast` number, since 5 + 7 + 28 + 91 + 6 + 6 + 7 + 500 + 7 + 9 = 666.

It is not a de Polignac number, because 57289166750079 - 24 = 57289166750063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57289166749989 and 57289166750016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57289166750479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24693822 + ... + 26913995.

It is an arithmetic number, because the mean of its divisors is an integer number (3761745461838).

Almost surely, 257289166750079 is an apocalyptic number.

57289166750079 is a deficient number, since it is larger than the sum of its proper divisors (32992724334033).

57289166750079 is a wasteful number, since it uses less digits than its factorization.

57289166750079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51619047 (or 51619044 counting only the distinct ones).

The product of its (nonzero) digits is 400075200, while the sum is 72.

The spelling of 57289166750079 in words is "fifty-seven trillion, two hundred eighty-nine billion, one hundred sixty-six million, seven hundred fifty thousand, seventy-nine".

Divisors: 1 3 9 11 33 99 11213 33639 100917 123343 370029 1110087 51607817 154823451 464470353 567685987 1703057961 5109173883 578678452021 1736035356063 5208106068189 6365462972231 19096388916693 57289166750079