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16640072753 = 174121135153
BaseRepresentation
bin11110111111101001…
…10101110000110001
31120221200020021112212
433133310311300301
5233034324312003
611351102301505
71126233166433
oct173764656061
946850207485
1016640072753
117069983a47
123284887895
1317525727c5
14b3bd8a653
15675ccbdd8
hex3dfd35c31

16640072753 has 24 divisors (see below), whose sum is σ = 18222461784. Its totient is φ = 15141109760.

The previous prime is 16640072741. The next prime is 16640072759. The reversal of 16640072753 is 35727004661.

It can be written as a sum of positive squares in 12 ways, for example, as 12785277184 + 3854795569 = 113072^2 + 62087^2 .

It is not a de Polignac number, because 16640072753 - 24 = 16640072737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16640072753.

It is not an unprimeable number, because it can be changed into a prime (16640072759) 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, 3226625 + ... + 3231777.

It is an arithmetic number, because the mean of its divisors is an integer number (759269241).

Almost surely, 216640072753 is an apocalyptic number.

It is an amenable number.

16640072753 is a deficient number, since it is larger than the sum of its proper divisors (1582389031).

16640072753 is a wasteful number, since it uses less digits than its factorization.

16640072753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 16640072753 in words is "sixteen billion, six hundred forty million, seventy-two thousand, seven hundred fifty-three".

Divisors: 1 17 41 113 697 1681 1921 4633 5153 28577 78761 87601 189953 211273 582289 3229201 3591641 8662193 9898913 23873849 147257281 405855433 978827809 16640072753