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5709534864 = 243111733171
BaseRepresentation
bin1010101000101000…
…01001011010010000
3112201220111102102020
411110110021122100
543143120103424
62342315051440
7261326150145
oct52424113220
915656442366
105709534864
11246a97a060
121134140b80
136ccb58bc7
143c23dc3cc
152363ae079
hex154509690

5709534864 has 320 divisors, whose sum is σ = 17895997440. Its totient is φ = 1553664000.

The previous prime is 5709534851. The next prime is 5709534889. The reversal of 5709534864 is 4684359075.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80415949 + ... + 80416019.

It is an arithmetic number, because the mean of its divisors is an integer number (55924992).

Almost surely, 25709534864 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 5709534864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8947998720).

5709534864 is an abundant number, since it is smaller than the sum of its proper divisors (12186462576).

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

5709534864 is a wasteful number, since it uses less digits than its factorization.

5709534864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The square root of 5709534864 is about 75561.4641467461. The cubic root of 5709534864 is about 1787.3114726037.

The spelling of 5709534864 in words is "five billion, seven hundred nine million, five hundred thirty-four thousand, eight hundred sixty-four".