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14596075071361 = 74779692
BaseRepresentation
bin1101010001100110100111…
…0111101010011110000001
31220200101000120022222100101
43110121221313222132001
53403120230204240421
651013202212322401
73034350230020000
oct324315167523601
956611016288311
1014596075071361
11471818494a203
121778998013401
1381b5336b5974
1438664d340c37
151a4a263c4191
hexd4669dea781

14596075071361 has 15 divisors (see below), whose sum is σ = 17027959449731. Its totient is φ = 12510761029536.

The previous prime is 14596075071359. The next prime is 14596075071401. The reversal of 14596075071361 is 16317057069541.

It is a happy number.

The square root of 14596075071361 is 3820481.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9373204741761 + 5222870329600 = 3061569^2 + 2285360^2 .

It is not a de Polignac number, because 14596075071361 - 21 = 14596075071359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14596075071661) 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 14 ways as a sum of consecutive naturals, for example, 187164585 + ... + 187242553.

Almost surely, 214596075071361 is an apocalyptic number.

14596075071361 is the 3820481-st square number.

14596075071361 is the 1910241-st centered octagonal number.

It is an amenable number.

14596075071361 is a deficient number, since it is larger than the sum of its proper divisors (2431884378370).

14596075071361 is an frugal number, since it uses more digits than its factorization.

14596075071361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155966 (or 77976 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 14596075071361 in words is "fourteen trillion, five hundred ninety-six billion, seventy-five million, seventy-one thousand, three hundred sixty-one".

Divisors: 1 7 49 343 2401 77969 545783 3820481 26743367 187203569 6079164961 42554154727 297879083089 2085153581623 14596075071361