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6115295232 = 22336
BaseRepresentation
bin1011011001000000…
…00000000000000000
3120210012000012000000
411230200000000000
5100011003421412
62450452000000
7304354103034
oct55440000000
916705005000
106115295232
112658a19902
121228000000
13765c363b7
144202621c4
1525bd0e4dc
hex16c800000

6115295232 has 168 divisors, whose sum is σ = 18337495995. Its totient is φ = 2038431744.

The previous prime is 6115295231. The next prime is 6115295239. The reversal of 6115295232 is 2325925116.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)6 ⋅ (2!)5.

6115295232 is a `hidden beast` number, since 611 + 5 + 2 + 9 + 5 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3057647616 + 3057647616 = 55296^2 + 55296^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=55296.

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

Its product of digits (32400) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (6115295231) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 2038431743 + 2038431744 + 2038431745.

Almost surely, 26115295232 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 6115295232

6115295232 is an abundant number, since it is smaller than the sum of its proper divisors (12222200763).

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

6115295232 is an frugal number, since it uses more digits than its factorization.

6115295232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 5 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 6115295232 is about 78200.3531449827. The cubic root of 6115295232 is about 1828.6860118674.

The spelling of 6115295232 in words is "six billion, one hundred fifteen million, two hundred ninety-five thousand, two hundred thirty-two".