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5325596640 = 25335713192331
BaseRepresentation
bin1001111010110111…
…00010011111100000
3111202011001100012000
410331123202133200
541401323043030
62240242004000
7245654552550
oct47533423740
914664040160
105325596640
112293184641
121047646600
1366b44c320
14387419160
1521281e860
hex13d6e27e0

5325596640 has 1536 divisors, whose sum is σ = 26011238400. Its totient is φ = 985374720.

The previous prime is 5325596623. The next prime is 5325596677. The reversal of 5325596640 is 466955235.

5325596640 is a `hidden beast` number, since 5 + 32 + 559 + 6 + 64 + 0 = 666.

It is a super-3 number, since 3×53255966403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 171793425 + ... + 171793455.

It is an arithmetic number, because the mean of its divisors is an integer number (16934400).

Almost surely, 25325596640 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 5325596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005619200).

5325596640 is an abundant number, since it is smaller than the sum of its proper divisors (20685641760).

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

5325596640 is a wasteful number, since it uses less digits than its factorization.

5325596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5325596640 is about 72976.6855920437. The cubic root of 5325596640 is about 1746.3156926124.

The spelling of 5325596640 in words is "five billion, three hundred twenty-five million, five hundred ninety-six thousand, six hundred forty".