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83050838112825 = 32521153633130079
BaseRepresentation
bin10010111000100011000111…
…101101000011101000111001
3101220001120201201000000100200
4102320203013231003220321
541341201104024102300
6452345010041152413
723331140122162002
oct2270430755035071
9356046651000320
1083050838112825
112450a731a904a0
12939398578b709
133745877c6a58b
1416719796281a9
159905223c7200
hex4b88c7b43a39

83050838112825 has 72 divisors (see below), whose sum is σ = 165338121611520. Its totient is φ = 39507316867200.

The previous prime is 83050838112799. The next prime is 83050838112857. The reversal of 83050838112825 is 52821183805038.

83050838112825 is a `hidden beast` number, since 8 + 3 + 0 + 508 + 3 + 8 + 1 + 128 + 2 + 5 = 666.

It is not a de Polignac number, because 83050838112825 - 215 = 83050838080057 is a prime.

It is a super-2 number, since 2×830508381128252 (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 316433865 + ... + 316696214.

It is an arithmetic number, because the mean of its divisors is an integer number (2296362800160).

Almost surely, 283050838112825 is an apocalyptic number.

It is an amenable number.

83050838112825 is a deficient number, since it is larger than the sum of its proper divisors (82287283498695).

83050838112825 is a wasteful number, since it uses less digits than its factorization.

83050838112825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633130159 (or 633130151 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 83050838112825 in words is "eighty-three trillion, fifty billion, eight hundred thirty-eight million, one hundred twelve thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 53 55 75 99 159 165 225 265 275 477 495 583 795 825 1325 1749 2385 2475 2915 3975 5247 8745 11925 14575 26235 43725 131175 633130079 1899390237 3165650395 5698170711 6964430869 9496951185 15828251975 20893292607 28490853555 33555894187 34822154345 47484755925 62679877821 100667682561 104466463035 142454267775 167779470935 174110771725 302003047683 313399389105 369114836057 503338412805 522332315175 838897354675 1107344508171 1510015238415 1566996945525 1845574180285 2516692064025 3322033524513 5536722540855 7550076192075 9227870901425 16610167622565 27683612704275 83050838112825