Search a number
-
+
57538379808 = 2535713314361
BaseRepresentation
bin110101100101100011…
…100000000000100000
312111111221121112200000
4311211203200000200
51420314311123213
642233251100000
74104566105310
oct654543400040
9174457545600
1057538379808
1122446a08408
12b1995a1600
13556c777cb0
142adb993440
15176b5a8c73
hexd658e0020

57538379808 has 1152 divisors, whose sum is σ = 224209649664. Its totient is φ = 14108774400.

The previous prime is 57538379719. The next prime is 57538379923. The reversal of 57538379808 is 80897383575.

57538379808 is a `hidden beast` number, since 5 + 7 + 538 + 3 + 7 + 98 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 943252098 + ... + 943252158.

It is an arithmetic number, because the mean of its divisors is an integer number (194626432).

Almost surely, 257538379808 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 57538379808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112104824832).

57538379808 is an abundant number, since it is smaller than the sum of its proper divisors (166671269856).

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

57538379808 is a wasteful number, since it uses less digits than its factorization.

57538379808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 57538379808 in words is "fifty-seven billion, five hundred thirty-eight million, three hundred seventy-nine thousand, eight hundred eight".