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2552435192331 = 33623831515391
BaseRepresentation
bin100101001001001000111…
…111100011001000001011
3100001000021121010022201000
4211021020333203020023
5313304341402123311
65232323400230043
7352256503106313
oct45111077431013
910030247108630
102552435192331
118a4533140382
1235281946b323
13156902b0cc6b
148b7779c4443
15465dc17e056
hex25248fe320b

2552435192331 has 16 divisors (see below), whose sum is σ = 3781448581120. Its totient is φ = 1701595061640.

The previous prime is 2552435192309. The next prime is 2552435192389. The reversal of 2552435192331 is 1332915342552.

2552435192331 is a `hidden beast` number, since 2 + 5 + 524 + 3 + 5 + 1 + 92 + 3 + 31 = 666.

It is not a de Polignac number, because 2552435192331 - 210 = 2552435191307 is a prime.

It is a super-2 number, since 2×25524351923312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2552435152331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926646 + ... + 2442036.

It is an arithmetic number, because the mean of its divisors is an integer number (236340536320).

Almost surely, 22552435192331 is an apocalyptic number.

2552435192331 is a deficient number, since it is larger than the sum of its proper divisors (1229013388789).

2552435192331 is a wasteful number, since it uses less digits than its factorization.

2552435192331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577783 (or 1577777 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 2552435192331 in words is "two trillion, five hundred fifty-two billion, four hundred thirty-five million, one hundred ninety-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 62383 187149 561447 1515391 1684341 4546173 13638519 40915557 94534636753 283603910259 850811730777 2552435192331