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6130732608 = 263274111331
BaseRepresentation
bin1011011010110101…
…11000111001000000
3120211021001111002200
411231122320321000
5100023431420413
62452202513200
7304632240000
oct55532707100
916737044080
106130732608
112666703170
121231205800
137691acb40
14422320000
1525d35d573
hex16d6b8e40

6130732608 has 840 divisors, whose sum is σ = 24861048576. Its totient is φ = 1422489600.

The previous prime is 6130732579. The next prime is 6130732609. The reversal of 6130732608 is 8062370316.

It is a happy number.

6130732608 is a `hidden beast` number, since 6 + 13 + 0 + 7 + 32 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6130732609) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 197765553 + ... + 197765583.

Almost surely, 26130732608 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 6130732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12430524288).

6130732608 is an abundant number, since it is smaller than the sum of its proper divisors (18730315968).

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

6130732608 is a wasteful number, since it uses less digits than its factorization.

6130732608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6130732608 is about 78298.9949360782. The cubic root of 6130732608 is about 1830.2234896808.

The spelling of 6130732608 in words is "six billion, one hundred thirty million, seven hundred thirty-two thousand, six hundred eight".