Search a number
-
+
57157147440 = 24325473115431
BaseRepresentation
bin110101001110110101…
…001101101100110000
312110112101020221011200
4311032311031230300
51414024212204230
642131352011200
74062256510551
oct651665155460
9173471227150
1057157147440
11222707a0938
12b0b1990b00
13550b7a7c03
142aa30b6328
151747da1160
hexd4ed4db30

57157147440 has 240 divisors, whose sum is σ = 196703410176. Its totient is φ = 14866905600.

The previous prime is 57157147403. The next prime is 57157147459. The reversal of 57157147440 is 4474175175.

57157147440 is a `hidden beast` number, since 5 + 7 + 1 + 571 + 4 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10521525 + ... + 10526955.

Almost surely, 257157147440 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 57157147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98351705088).

57157147440 is an abundant number, since it is smaller than the sum of its proper divisors (139546262736).

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

57157147440 is a wasteful number, since it uses less digits than its factorization.

57157147440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 57157147440 in words is "fifty-seven billion, one hundred fifty-seven million, one hundred forty-seven thousand, four hundred forty".