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13585349214 = 233277908233
BaseRepresentation
bin11001010011011111…
…11111101001011110
31022001210020020122000
430221233333221132
5210310322133324
610124021103130
7660441364053
oct145157775136
938053206560
1013585349214
115841636a38
122771857aa6
13138673ab98
1492c3bb02a
15547a289c9
hex329bffa5e

13585349214 has 32 divisors (see below), whose sum is σ = 30298686240. Its totient is φ = 4512096576.

The previous prime is 13585349209. The next prime is 13585349249. The reversal of 13585349214 is 41294358531.

13585349214 is a `hidden beast` number, since 1 + 3 + 585 + 3 + 49 + 21 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13585349214.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 439159 + ... + 469074.

It is an arithmetic number, because the mean of its divisors is an integer number (946833945).

Almost surely, 213585349214 is an apocalyptic number.

13585349214 is an abundant number, since it is smaller than the sum of its proper divisors (16713337026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13585349214 is a wasteful number, since it uses less digits than its factorization.

13585349214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908521 (or 908515 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 13585349214 in words is "thirteen billion, five hundred eighty-five million, three hundred forty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 277 554 831 1662 2493 4986 7479 14958 908233 1816466 2724699 5449398 8174097 16348194 24522291 49044582 251580541 503161082 754741623 1509483246 2264224869 4528449738 6792674607 13585349214