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85299120819 = 33111381207967
BaseRepresentation
bin100111101110000111…
…0010100101010110011
322011011122100022012000
41033130032110222303
52344143033331234
6103104052105043
76106535364303
oct1173416245263
9264148308160
1085299120819
11331a2147a80
1214646605183
138074c44273
1441b2861603
15234380d899
hex13dc394ab3

85299120819 has 32 divisors (see below), whose sum is σ = 137957652480. Its totient is φ = 51658754400.

The previous prime is 85299120773. The next prime is 85299120839. The reversal of 85299120819 is 91802199258.

85299120819 is a `hidden beast` number, since 8 + 529 + 91 + 20 + 8 + 1 + 9 = 666.

It is not a de Polignac number, because 85299120819 - 27 = 85299120691 is a prime.

It is a super-2 number, since 2×852991208192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85299120839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306174 + ... + 514140.

It is an arithmetic number, because the mean of its divisors is an integer number (4311176640).

Almost surely, 285299120819 is an apocalyptic number.

85299120819 is a deficient number, since it is larger than the sum of its proper divisors (52658531661).

85299120819 is a wasteful number, since it uses less digits than its factorization.

85299120819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209368 (or 209362 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 85299120819 in words is "eighty-five billion, two hundred ninety-nine million, one hundred twenty thousand, eight hundred nineteen".

Divisors: 1 3 9 11 27 33 99 297 1381 4143 12429 15191 37287 45573 136719 207967 410157 623901 1871703 2287637 5615109 6862911 20588733 61766199 287202427 861607281 2584821843 3159226697 7754465529 9477680091 28433040273 85299120819