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5431400064 = 27324714757
BaseRepresentation
bin1010000111011110…
…01001011010000000
3112000112010201012100
411003233021122000
542110414300224
62254541430400
7251411065416
oct50357113200
915015121170
105431400064
11233797a292
121076b6b400
136873454bc
143974bb2b6
1521bc6dac9
hex143bc9680

5431400064 has 48 divisors (see below), whose sum is σ = 15629422770. Its totient is φ = 1810466304.

The previous prime is 5431399991. The next prime is 5431400071. The reversal of 5431400064 is 4600041345.

It can be written as a sum of positive squares in only one way, i.e., 3701505600 + 1729894464 = 60840^2 + 41592^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2356227 + ... + 2358530.

Almost surely, 25431400064 is an apocalyptic number.

It is an amenable number.

5431400064 is an abundant number, since it is smaller than the sum of its proper divisors (10198022706).

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

5431400064 is a wasteful number, since it uses less digits than its factorization.

5431400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714777 (or 4714762 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5431400064 is about 73698.0329723935. The cubic root of 5431400064 is about 1757.8046042350.

The spelling of 5431400064 in words is "five billion, four hundred thirty-one million, four hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4714757 9429514 14144271 18859028 28288542 37718056 42432813 56577084 75436112 84865626 113154168 150872224 169731252 226308336 301744448 339462504 452616672 603488896 678925008 905233344 1357850016 1810466688 2715700032 5431400064