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2354131985 = 529115314081
BaseRepresentation
bin1000110001010001…
…0011010000010001
320002001201021222112
42030110103100101
514310124210420
61025333115105
7112223535362
oct21424232021
96061637875
102354131985
11aa8934227
12558488a95
132b694920a
1418491db69
15dba158c5
hex8c513411

2354131985 has 16 divisors (see below), whose sum is σ = 2925113040. Its totient is φ = 1816657920.

The previous prime is 2354131979. The next prime is 2354132003. The reversal of 2354131985 is 5891314532.

It can be written as a sum of positive squares in 8 ways, for example, as 175483009 + 2178648976 = 13247^2 + 46676^2 .

It is not a de Polignac number, because 2354131985 - 26 = 2354131921 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160145 + ... + 174225.

It is an arithmetic number, because the mean of its divisors is an integer number (182819565).

Almost surely, 22354131985 is an apocalyptic number.

It is an amenable number.

2354131985 is a deficient number, since it is larger than the sum of its proper divisors (570981055).

2354131985 is a wasteful number, since it uses less digits than its factorization.

2354131985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15268.

The product of its digits is 129600, while the sum is 41.

The square root of 2354131985 is about 48519.3980280053. The cubic root of 2354131985 is about 1330.2816568581.

The spelling of 2354131985 in words is "two billion, three hundred fifty-four million, one hundred thirty-one thousand, nine hundred eighty-five".

Divisors: 1 5 29 145 1153 5765 14081 33437 70405 167185 408349 2041745 16235393 81176965 470826397 2354131985