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16001617640 = 235400040441
BaseRepresentation
bin11101110011100010…
…10100111011101000
31112022011212101210012
432321301110323220
5230232403231030
611203454111052
71104351335321
oct167161247350
945264771705
1016001617640
116871550198
123126aab488
131680201608
14abb273448
15639c15095
hex3b9c54ee8

16001617640 has 16 divisors (see below), whose sum is σ = 36003639780. Its totient is φ = 6400647040.

The previous prime is 16001617607. The next prime is 16001617669. The reversal of 16001617640 is 4671610061.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15748744036 + 252873604 = 125494^2 + 15902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16001617597 and 16001617606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200020181 + ... + 200020260.

Almost surely, 216001617640 is an apocalyptic number.

16001617640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16001617640 is an abundant number, since it is smaller than the sum of its proper divisors (20002022140).

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

16001617640 is a wasteful number, since it uses less digits than its factorization.

16001617640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400040452 (or 400040448 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 16001617640 in words is "sixteen billion, one million, six hundred seventeen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 400040441 800080882 1600161764 2000202205 3200323528 4000404410 8000808820 16001617640