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57283200000 = 21034551317
BaseRepresentation
bin110101010110010110…
…000100010000000000
312110212011110001210000
4311112112010100000
51414303444400000
642152053440000
74065350110665
oct652626042000
9173764401700
1057283200000
1122325967004
12b128040000
13552b940a20
142ab5b29a6c
151753ea0000
hexd56584400

57283200000 has 1320 divisors, whose sum is σ = 243801286344. Its totient is φ = 13271040000.

The previous prime is 57283199977. The next prime is 57283200041. The reversal of 57283200000 is 238275.

It can be written as a sum of positive squares in 12 ways, for example, as 57277891584 + 5308416 = 239328^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3369599992 + ... + 3369600008.

Almost surely, 257283200000 is an apocalyptic number.

57283200000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57283200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121900643172).

57283200000 is an abundant number, since it is smaller than the sum of its proper divisors (186518086344).

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

57283200000 is an equidigital number, since it uses as much as digits as its factorization.

57283200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 57283200000 its reverse (238275), we get a palindrome (57283438275).

The spelling of 57283200000 in words is "fifty-seven billion, two hundred eighty-three million, two hundred thousand".