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10855394387136 = 2634131729397823
BaseRepresentation
bin1001110111110111011111…
…1011010010010011000000
31102102202200002200102110000
42131331313323102103000
52410323321430342021
635030522131240000
72200163535563265
oct235756773222300
942382602612400
1010855394387136
11350582414a752
121273a21749000
1360987562b060
142975923c926c
1513c591486b26
hex9df77ed24c0

10855394387136 has 1120 divisors, whose sum is σ = 38099666183040. Its totient is φ = 3023917940736.

The previous prime is 10855394387029. The next prime is 10855394387171. The reversal of 10855394387136 is 63178349355801.

10855394387136 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 539 + 4 + 3 + 87 + 13 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13190029221 + ... + 13190030043.

It is an arithmetic number, because the mean of its divisors is an integer number (34017559092).

Almost surely, 210855394387136 is an apocalyptic number.

10855394387136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10855394387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19049833091520).

10855394387136 is an abundant number, since it is smaller than the sum of its proper divisors (27244271795904).

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

10855394387136 is a wasteful number, since it uses less digits than its factorization.

10855394387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 10855394387136 in words is "ten trillion, eight hundred fifty-five billion, three hundred ninety-four million, three hundred eighty-seven thousand, one hundred thirty-six".