Search a number
-
+
57720881460 = 2235111393371867
BaseRepresentation
bin110101110000011011…
…101100000100110100
312111222200000120212110
4311300123230010310
51421203021201320
642303330451020
74112243253144
oct656033540464
9174880016773
1057720881460
112252aa29620
12b22a733a70
13559b516738
142b17cdc924
15177c6085e0
hexd706ec134

57720881460 has 192 divisors, whose sum is σ = 178201820160. Its totient is φ = 13843630080.

The previous prime is 57720881441. The next prime is 57720881501. The reversal of 57720881460 is 6418802775.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30915447 + ... + 30917313.

It is an arithmetic number, because the mean of its divisors is an integer number (928134480).

Almost surely, 257720881460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57720881460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89100910080).

57720881460 is an abundant number, since it is smaller than the sum of its proper divisors (120480938700).

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

57720881460 is a wasteful number, since it uses less digits than its factorization.

57720881460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 57720881460 in words is "fifty-seven billion, seven hundred twenty million, eight hundred eighty-one thousand, four hundred sixty".