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16056826417 = 172531139277
BaseRepresentation
bin11101111010000111…
…11011101000110001
31112110000202021222201
432331003323220301
5230341021421132
611213145303201
71105621526002
oct167503735061
945400667881
1016056826417
11689a729385
123141494b01
13168b791828
14ac47251a9
1563e9bd2e7
hex3bd0fba31

16056826417 has 24 divisors (see below), whose sum is σ = 17534417976. Its totient is φ = 14694371328.

The previous prime is 16056826391. The next prime is 16056826427. The reversal of 16056826417 is 71462865061.

It can be written as a sum of positive squares in 12 ways, for example, as 295530481 + 15761295936 = 17191^2 + 125544^2 .

It is not a de Polignac number, because 16056826417 - 223 = 16048437809 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16056826427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726183 + ... + 1735459.

It is an arithmetic number, because the mean of its divisors is an integer number (730600749).

Almost surely, 216056826417 is an apocalyptic number.

16056826417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16056826417 is a deficient number, since it is larger than the sum of its proper divisors (1477591559).

16056826417 is a wasteful number, since it uses less digits than its factorization.

16056826417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9477 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 16056826417 in words is "sixteen billion, fifty-six million, eight hundred twenty-six thousand, four hundred seventeen".

Divisors: 1 17 53 113 289 901 1921 5989 9277 15317 32657 101813 157709 491681 1048301 1730821 2681053 8358577 17821117 55559953 142095809 302958989 944519201 16056826417