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13942072593 = 3414927753
BaseRepresentation
bin11001111110000001…
…10010010100010001
31022222122110200010000
430333000302110101
5212023132310333
610223243000213
71002332442651
oct147700622421
938878420100
1013942072593
115a04a33549
122851209069
1314126093c7
14963918361
15568ede713
hex33f032511

13942072593 has 30 divisors (see below), whose sum is σ = 20970468134. Its totient is φ = 9231143616.

The previous prime is 13942072583. The next prime is 13942072597. The reversal of 13942072593 is 39527024931.

13942072593 is a `hidden beast` number, since 1 + 39 + 4 + 20 + 7 + 2 + 593 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1340438544 + 12601634049 = 36612^2 + 112257^2 .

It is not a de Polignac number, because 13942072593 - 28 = 13942072337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13942072597) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1794405 + ... + 1802157.

Almost surely, 213942072593 is an apocalyptic number.

It is an amenable number.

13942072593 is a deficient number, since it is larger than the sum of its proper divisors (7028395541).

13942072593 is an frugal number, since it uses more digits than its factorization.

13942072593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 13942072593 in words is "thirteen billion, nine hundred forty-two million, seventy-two thousand, five hundred ninety-three".

Divisors: 1 3 9 27 81 149 447 1341 4023 7753 12069 22201 23259 66603 69777 199809 209331 599427 627993 1155197 1798281 3465591 10396773 31190319 93570957 172124353 516373059 1549119177 4647357531 13942072593