Search a number
-
+
6130792512 = 2632131635023
BaseRepresentation
bin1011011010110110…
…00111100001000000
3120211021011112021100
411231123013201000
5100023440330022
62452204054400
7304632606435
oct55533074100
916737145240
106130792512
112666744179
121231234400
137692011a0
14422337b8c
1525d3711ac
hex16d6c7840

6130792512 has 168 divisors, whose sum is σ = 19044456704. Its totient is φ = 1874451456.

The previous prime is 6130792487. The next prime is 6130792517. The reversal of 6130792512 is 2152970316.

6130792512 is a `hidden beast` number, since 6 + 130 + 7 + 9 + 2 + 512 = 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 (6130792517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1218033 + ... + 1223055.

Almost surely, 26130792512 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 6130792512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522228352).

6130792512 is an abundant number, since it is smaller than the sum of its proper divisors (12913664192).

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

6130792512 is a wasteful number, since it uses less digits than its factorization.

6130792512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 6130792512 is about 78299.3774687896. The cubic root of 6130792512 is about 1830.2294507602.

The spelling of 6130792512 in words is "six billion, one hundred thirty million, seven hundred ninety-two thousand, five hundred twelve".