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6413424516 = 2232178150681
BaseRepresentation
bin1011111100100010…
…10001011110000100
3121112221222201111100
411332101101132010
5101113314041031
62540221540100
7314634131442
oct57621213604
917487881440
106413424516
1127a1235844
1212aba14630
137b292a865
1444baa9b92
1527809dde6
hex17e451784

6413424516 has 18 divisors (see below), whose sum is σ = 16211712062. Its totient is φ = 2137808160.

The previous prime is 6413424499. The next prime is 6413424517. The reversal of 6413424516 is 6154243146.

6413424516 is a `hidden beast` number, since 6 + 4 + 134 + 2 + 4 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4694990400 + 1718434116 = 68520^2 + 41454^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×64134245162 = 82264028044859668512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 178150681 = 6413424516 / (6 + 4 + 1 + 3 + 4 + 2 + 4 + 5 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (6413424517) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89075305 + ... + 89075376.

Almost surely, 26413424516 is an apocalyptic number.

It is an amenable number.

6413424516 is an abundant number, since it is smaller than the sum of its proper divisors (9798287546).

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

6413424516 is a wasteful number, since it uses less digits than its factorization.

6413424516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178150691 (or 178150686 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 6413424516 is about 80083.8592726400. The cubic root of 6413424516 is about 1857.9327744192.

The spelling of 6413424516 in words is "six billion, four hundred thirteen million, four hundred twenty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 178150681 356301362 534452043 712602724 1068904086 1603356129 2137808172 3206712258 6413424516