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57113844480 = 2832571131267
BaseRepresentation
bin110101001100010000…
…000001101100000000
312110102100202220200100
4311030100001230000
51413432121010410
642123203522400
74061222445060
oct651420015400
9173370686610
1057113844480
1122249304770
12b09b389400
135502825b64
142a9b4433a0
15174419a8c0
hexd4c401b00

57113844480 has 1296 divisors, whose sum is σ = 258371672832. Its totient is φ = 11313561600.

The previous prime is 57113844479. The next prime is 57113844499. The reversal of 57113844480 is 8444831175.

57113844480 is a `hidden beast` number, since 5 + 71 + 138 + 4 + 448 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 852445407 + ... + 852445473.

Almost surely, 257113844480 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 57113844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129185836416).

57113844480 is an abundant number, since it is smaller than the sum of its proper divisors (201257828352).

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

57113844480 is a wasteful number, since it uses less digits than its factorization.

57113844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 57113844480 in words is "fifty-seven billion, one hundred thirteen million, eight hundred forty-four thousand, four hundred eighty".