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83104710805525 = 52175333461110261
BaseRepresentation
bin10010111001010101010010…
…110001000100100000010101
3101220020201210011222100122111
4102321111102301010200111
541343041421431234100
6452425435504031021
723335055130414013
oct2271252261044025
9356221704870574
1083104710805525
1124530567794922
1293a22bb602471
13374a982146a36
14167440a40d8b3
15991b26c466ba
hex4b9552c44815

83104710805525 has 48 divisors (see below), whose sum is σ = 111174636809808. Its totient is φ = 61389945344000.

The previous prime is 83104710805513. The next prime is 83104710805537. The reversal of 83104710805525 is 52550801740138.

It is an interprime number because it is at equal distance from previous prime (83104710805513) and next prime (83104710805537).

It can be written as a sum of positive squares in 24 ways, for example, as 29558348424081 + 53546362381444 = 5436759^2 + 7317538^2 .

It is not a de Polignac number, because 83104710805525 - 223 = 83104702416917 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 753653895 + ... + 753764155.

It is an arithmetic number, because the mean of its divisors is an integer number (2316138266871).

Almost surely, 283104710805525 is an apocalyptic number.

83104710805525 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83104710805525 is a deficient number, since it is larger than the sum of its proper divisors (28069926004283).

83104710805525 is a wasteful number, since it uses less digits than its factorization.

83104710805525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143802 (or 143797 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 49.

The spelling of 83104710805525 in words is "eighty-three trillion, one hundred four billion, seven hundred ten million, eight hundred five thousand, five hundred twenty-five".

Divisors: 1 5 17 25 53 85 265 425 901 1325 4505 22525 33461 110261 167305 551305 568837 836525 1773433 1874437 2756525 2844185 5843833 8867165 9372185 14220925 29219165 30148361 44335825 46860925 99345161 146095825 150741805 496725805 753709025 2483629025 3689443321 18447216605 62720536457 92236083025 195540496013 313602682285 977702480065 1568013411425 3324188432221 4888512400325 16620942161105 83104710805525