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57303821952 = 2734131789281
BaseRepresentation
bin110101010111100100…
…101110111010000000
312110220121020202210000
4311113210232322000
51414324234300302
642154111440000
74066020310206
oct652744567200
9173817222700
1057303821952
1122336571643
12b132b26000
135532cb1270
142ab8777076
151755bc531c
hexd5792ee80

57303821952 has 640 divisors, whose sum is σ = 197341174800. Its totient is φ = 16349921280.

The previous prime is 57303821819. The next prime is 57303821957. The reversal of 57303821952 is 25912830375.

57303821952 is a `hidden beast` number, since 57 + 30 + 382 + 195 + 2 = 666.

57303821952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21637233216 + 35666588736 = 147096^2 + 188856^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57303821898 and 57303821907.

It is not an unprimeable number, because it can be changed into a prime (57303821957) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 203928052 + ... + 203928332.

Almost surely, 257303821952 is an apocalyptic number.

57303821952 is a gapful number since it is divisible by the number (52) 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 57303821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98670587400).

57303821952 is an abundant number, since it is smaller than the sum of its proper divisors (140037352848).

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

57303821952 is a wasteful number, since it uses less digits than its factorization.

57303821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 57303821952 in words is "fifty-seven billion, three hundred three million, eight hundred twenty-one thousand, nine hundred fifty-two".