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16442619012 = 2232587778091
BaseRepresentation
bin11110101000000111…
…00111010010000100
31120102220200120221100
433110003213102010
5232133302302022
611315330220100
71121314645521
oct172403472204
946386616840
1016442619012
116a78480036
12322a724630
13172069a481
14b1da6c148
156637c71ac
hex3d40e7484

16442619012 has 36 divisors (see below), whose sum is σ = 41634146736. Its totient is φ = 5471528880.

The previous prime is 16442618989. The next prime is 16442619031. The reversal of 16442619012 is 21091624461.

16442619012 is a `hidden beast` number, since 1 + 644 + 2 + 6 + 1 + 9 + 0 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×164426190123 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367914 + ... + 410177.

It is an arithmetic number, because the mean of its divisors is an integer number (1156504076).

Almost surely, 216442619012 is an apocalyptic number.

16442619012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16442619012 is an abundant number, since it is smaller than the sum of its proper divisors (25191527724).

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

16442619012 is a wasteful number, since it uses less digits than its factorization.

16442619012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778688 (or 778683 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 16442619012 in words is "sixteen billion, four hundred forty-two million, six hundred nineteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 587 1174 1761 2348 3522 5283 7044 10566 21132 778091 1556182 2334273 3112364 4668546 7002819 9337092 14005638 28011276 456739417 913478834 1370218251 1826957668 2740436502 4110654753 5480873004 8221309506 16442619012