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5859330048 = 211341113219
BaseRepresentation
bin1010111010011111…
…00100100000000000
3120010100100210210000
411131033210200000
543444442030143
62405225440000
7265125324615
oct53517444000
916110323700
105859330048
112537491430
121176340000
13724bb5800
143d827250c
152445ecbd3
hex15d3e4800

5859330048 has 720 divisors, whose sum is σ = 21762140400. Its totient is φ = 1552711680.

The previous prime is 5859330031. The next prime is 5859330053. The reversal of 5859330048 is 8400339585.

5859330048 = 47472 + 47482 + ... + 49932.

It is a happy number.

5859330048 is a `hidden beast` number, since 58 + 593 + 3 + 0 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×58593300482 = 68663497222791364608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5859329985 and 5859330012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 308385783 + ... + 308385801.

It is an arithmetic number, because the mean of its divisors is an integer number (30225195).

Almost surely, 25859330048 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 5859330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881070200).

5859330048 is an abundant number, since it is smaller than the sum of its proper divisors (15902810352).

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

5859330048 is a wasteful number, since it uses less digits than its factorization.

5859330048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5859330048 is about 76546.2608361767. The cubic root of 5859330048 is about 1802.8073525967.

The spelling of 5859330048 in words is "five billion, eight hundred fifty-nine million, three hundred thirty thousand, forty-eight".