Search a number
-
+
57048606720 = 211335724211
BaseRepresentation
bin110101001000010111…
…001010100000000000
312110020211000111022000
4311020113022200000
51413313420403340
642112513344000
74056501104400
oct651027124000
9173224014260
1057048606720
11222154a6666
12b081568000
1354c2163b31
142a92900800
15173d5b0d30
hexd485ca800

57048606720 has 576 divisors, whose sum is σ = 235954555200. Its totient is φ = 13036584960.

The previous prime is 57048606697. The next prime is 57048606737. The reversal of 57048606720 is 2760684075.

57048606720 is a `hidden beast` number, since 570 + 4 + 8 + 6 + 0 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13545415 + ... + 13549625.

It is an arithmetic number, because the mean of its divisors is an integer number (409643325).

Almost surely, 257048606720 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 57048606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117977277600).

57048606720 is an abundant number, since it is smaller than the sum of its proper divisors (178905948480).

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

57048606720 is a wasteful number, since it uses less digits than its factorization.

57048606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 57048606720 in words is "fifty-seven billion, forty-eight million, six hundred six thousand, seven hundred twenty".