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16064003641 = 7210117331873
BaseRepresentation
bin11101111010111110…
…10011111000111001
31112110112020221021211
432331133103320321
5230344341104031
611214003203121
71106036530600
oct167537237071
945415227254
1016064003641
1168a3790774
1231439764a1
1316901055ca
14ac5672a37
15640439bb1
hex3bd7d3e39

16064003641 has 24 divisors (see below), whose sum is σ = 18892686024. Its totient is φ = 13617676800.

The previous prime is 16064003639. The next prime is 16064003651. The reversal of 16064003641 is 14630046061.

It can be written as a sum of positive squares in 4 ways, for example, as 1856317225 + 14207686416 = 43085^2 + 119196^2 .

It is not a de Polignac number, because 16064003641 - 21 = 16064003639 is a prime.

It is a super-2 number, since 2×160640036412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16064003651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8575681 + ... + 8577553.

It is an arithmetic number, because the mean of its divisors is an integer number (787195251).

Almost surely, 216064003641 is an apocalyptic number.

It is an amenable number.

16064003641 is a deficient number, since it is larger than the sum of its proper divisors (2828682383).

16064003641 is a wasteful number, since it uses less digits than its factorization.

16064003641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 16064003641 in words is "sixteen billion, sixty-four million, three thousand, six hundred forty-one".

Divisors: 1 7 49 101 707 1733 1873 4949 12131 13111 84917 91777 175033 189173 1225231 1324211 3245909 8576617 9269477 22721363 159049541 327836809 2294857663 16064003641