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838146908097 = 32194901443907
BaseRepresentation
bin11000011001001010111…
…00101101111111000001
32222010101220021110021200
430030211130231333001
5102213011102024342
61441012301011413
7114361030112352
oct14144534557701
92863356243250
10838146908097
112a3502096424
12116531853b69
1361063140345
142c7d0799d29
1516c0728494c
hexc32572dfc1

838146908097 has 12 divisors (see below), whose sum is σ = 1274375416080. Its totient is φ = 529355941848.

The previous prime is 838146908041. The next prime is 838146908111. The reversal of 838146908097 is 790809641838.

838146908097 is a `hidden beast` number, since 8 + 3 + 8 + 1 + 469 + 0 + 80 + 97 = 666.

It is not a de Polignac number, because 838146908097 - 211 = 838146906049 is a prime.

It is a super-2 number, since 2×8381469080972 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (838146908017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2450721783 + ... + 2450722124.

It is an arithmetic number, because the mean of its divisors is an integer number (106197951340).

Almost surely, 2838146908097 is an apocalyptic number.

It is an amenable number.

838146908097 is a deficient number, since it is larger than the sum of its proper divisors (436228507983).

838146908097 is a wasteful number, since it uses less digits than its factorization.

838146908097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901443932 (or 4901443929 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 838146908097 in words is "eight hundred thirty-eight billion, one hundred forty-six million, nine hundred eight thousand, ninety-seven".

Divisors: 1 3 9 19 57 171 4901443907 14704331721 44112995163 93127434233 279382302699 838146908097