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1085156114418 = 232127474696463
BaseRepresentation
bin11111100101010000101…
…10000011111111110010
310211201222101200020202200
433302220112003333302
5120234344431130133
62150302553324030
7141254115532125
oct17625026037762
93751871606680
101085156114418
11389237378062
12156388706616
137b4396bc21c
143a743cc03bc
151d362727913
hexfca8583ff2

1085156114418 has 24 divisors (see below), whose sum is σ = 2369684748288. Its totient is φ = 358870525272.

The previous prime is 1085156114381. The next prime is 1085156114519. The reversal of 1085156114418 is 8144116515801.

1085156114418 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 15 + 611 + 4 + 4 + 18 = 666.

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 11 ways as a sum of consecutive naturals, for example, 237345946 + ... + 237350517.

It is an arithmetic number, because the mean of its divisors is an integer number (98736864512).

Almost surely, 21085156114418 is an apocalyptic number.

1085156114418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1085156114418 is an abundant number, since it is smaller than the sum of its proper divisors (1284528633870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1085156114418 is a wasteful number, since it uses less digits than its factorization.

1085156114418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474696598 (or 474696595 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 1085156114418 in words is "one trillion, eighty-five billion, one hundred fifty-six million, one hundred fourteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 474696463 949392926 1424089389 2848178778 4272268167 8544536334 60286450801 120572901602 180859352403 361718704806 542578057209 1085156114418