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16442113608 = 2332228362689
BaseRepresentation
bin11110101000000011…
…01011111001001000
31120102212201220122200
433110001223321020
5232133140113413
611315311320200
71121310442164
oct172401537110
946385656580
1016442113608
116a78165348
12322a520060
13172055140b
14b1d979ca4
15663727573
hex3d406be48

16442113608 has 24 divisors (see below), whose sum is σ = 44530724550. Its totient is φ = 5480704512.

The previous prime is 16442113603. The next prime is 16442113663. The reversal of 16442113608 is 80631124461.

16442113608 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 1 + 1 + 3 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9887915844 + 6554197764 = 99438^2 + 80958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×164421136083 (a number of 32 digits) contains 333 as substring.

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 (16442113603) 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, 114181273 + ... + 114181416.

Almost surely, 216442113608 is an apocalyptic number.

16442113608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16442113608 is an abundant number, since it is smaller than the sum of its proper divisors (28088610942).

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

16442113608 is a wasteful number, since it uses less digits than its factorization.

16442113608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228362701 (or 228362694 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16442113608 in words is "sixteen billion, four hundred forty-two million, one hundred thirteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 228362689 456725378 685088067 913450756 1370176134 1826901512 2055264201 2740352268 4110528402 5480704536 8221056804 16442113608