Search a number
-
+
57725687292 = 223713194389727
BaseRepresentation
bin110101110000101110…
…000001010111111100
312112000000001202020020
4311300232001113330
51421210233443132
642304021452140
74112332150260
oct656056012774
9175000052206
1057725687292
1122532711289
12b230271050
13559c50a020
142b187d00a0
15177cc5752c
hexd70b815fc

57725687292 has 384 divisors, whose sum is σ = 180814233600. Its totient is φ = 13910206464.

The previous prime is 57725687219. The next prime is 57725687297. The reversal of 57725687292 is 29278652775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57725687297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79402233 + ... + 79402959.

It is an arithmetic number, because the mean of its divisors is an integer number (470870400).

Almost surely, 257725687292 is an apocalyptic number.

57725687292 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57725687292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90407116800).

57725687292 is an abundant number, since it is smaller than the sum of its proper divisors (123088546308).

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

57725687292 is a wasteful number, since it uses less digits than its factorization.

57725687292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 903 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 60.

The spelling of 57725687292 in words is "fifty-seven billion, seven hundred twenty-five million, six hundred eighty-seven thousand, two hundred ninety-two".