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15340666604351 = 11223179197156319
BaseRepresentation
bin1101111100111100011011…
…1110111100101100111111
32000022112221102122221202012
43133033012332330230333
54002320141122314401
652343223245121435
73142220006433614
oct337170676745477
960275842587665
1015340666604351
114984a38405600
12187915a25927b
1387380724958a
143b06c694850b
151b90a50d28bb
hexdf3c6fbcb3f

15340666604351 has 48 divisors (see below), whose sum is σ = 17783413401600. Its totient is φ = 13197766169280.

The previous prime is 15340666604327. The next prime is 15340666604377.

15340666604351 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 15340666604351 - 218 = 15340666342207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 15340666604351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15340666604051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98058770 + ... + 98215088.

It is an arithmetic number, because the mean of its divisors is an integer number (370487779200).

Almost surely, 215340666604351 is an apocalyptic number.

15340666604351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15340666604351 is a deficient number, since it is larger than the sum of its proper divisors (2442746797249).

15340666604351 is a wasteful number, since it uses less digits than its factorization.

15340666604351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156740 (or 156729 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 15340666604351 in words is "fifteen trillion, three hundred forty billion, six hundred sixty-six million, six hundred four thousand, three hundred fifty-one".

Divisors: 1 11 23 121 179 197 253 1969 2167 2783 4117 4531 21659 23837 35263 45287 49841 156319 387893 498157 548251 811049 1719509 3595337 4266823 8921539 18914599 27981101 30794843 39548707 98136929 307792111 338743273 435035777 643565323 708281389 3385713221 3726176003 5512276897 7079218553 7791095279 60635045867 77871404083 85702048069 126782368631 666985504537 1394606054941 15340666604351