Search a number
-
+
57388744140 = 223572136773307
BaseRepresentation
bin110101011100101000…
…101011110111001100
312111010112001021010020
4311130220223313030
51420013004303030
642210343542140
74101101163600
oct653450536714
9174115037106
1057388744140
112237a4a4972
12b15745a950
135547775b90
142ac5b61500
15175d39c510
hexd5ca2bdcc

57388744140 has 576 divisors, whose sum is σ = 207779894784. Its totient is φ = 11725959168.

The previous prime is 57388744103. The next prime is 57388744163. The reversal of 57388744140 is 4144788375.

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, 186933867 + ... + 186934173.

It is an arithmetic number, because the mean of its divisors is an integer number (360728984).

Almost surely, 257388744140 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 57388744140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103889947392).

57388744140 is an abundant number, since it is smaller than the sum of its proper divisors (150391150644).

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

57388744140 is a wasteful number, since it uses less digits than its factorization.

57388744140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 57388744140 in words is "fifty-seven billion, three hundred eighty-eight million, seven hundred forty-four thousand, one hundred forty".