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57453213636 = 2232721324392
BaseRepresentation
bin110101100000011110…
…100111011111000100
312111022000100122122100
4311200132213133010
51420131010314021
642221005432100
74102513154400
oct654036473704
9174260318570
1057453213636
1122402928845
12b174b6b630
135557c29300
142ad0544100
151763d84626
hexd607a77c4

57453213636 has 243 divisors, whose sum is σ = 183352477581. Its totient is φ = 15117979968.

The previous prime is 57453213581. The next prime is 57453213641. The reversal of 57453213636 is 63631235475.

It is a happy number.

The square root of 57453213636 is 239694.

It is a perfect power (a square), and thus also a powerful number.

57453213636 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 3 + 2 + 1 + 3 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8498996100 + 48954217536 = 92190^2 + 221256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57453213591 and 57453213600.

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 80 ways as a sum of consecutive naturals, for example, 130872705 + ... + 130873143.

Almost surely, 257453213636 is an apocalyptic number.

57453213636 is the 239694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57453213636

57453213636 is an abundant number, since it is smaller than the sum of its proper divisors (125899263945).

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

57453213636 is a wasteful number, since it uses less digits than its factorization.

57453213636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 464 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 57453213636 in words is "fifty-seven billion, four hundred fifty-three million, two hundred thirteen thousand, six hundred thirty-six".