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5685709536 = 2532137173293
BaseRepresentation
bin1010100101110010…
…10000101011100000
3112200020122222012200
411102321100223200
543121020201121
62340104253200
7260616506433
oct52271205340
915606588180
105685709536
112458486801
121128171200
136c7c36590
143bd19981a
15234254a26
hex152e50ae0

5685709536 has 288 divisors, whose sum is σ = 17960709312. Its totient is φ = 1695375360.

The previous prime is 5685709493. The next prime is 5685709537. The reversal of 5685709536 is 6359075865.

5685709536 is a `hidden beast` number, since 5 + 68 + 570 + 9 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×56857095362 = 64654585855522670592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5685709537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19405006 + ... + 19405298.

It is an arithmetic number, because the mean of its divisors is an integer number (62363574).

Almost surely, 25685709536 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 5685709536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980354656).

5685709536 is an abundant number, since it is smaller than the sum of its proper divisors (12274999776).

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

5685709536 is a wasteful number, since it uses less digits than its factorization.

5685709536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 5685709536 is about 75403.6440498733. The cubic root of 5685709536 is about 1784.8219147712.

The spelling of 5685709536 in words is "five billion, six hundred eighty-five million, seven hundred nine thousand, five hundred thirty-six".