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10163378368 = 2611132353911
BaseRepresentation
bin10010111011100100…
…01101100011000000
3222020022012010010001
421131302031203000
5131303311101433
64400300245344
7506600201503
oct113562154300
928208163101
1010163378368
114345a64660
121b77840854
13c5c7c1870
146c5b3113a
153e73d157d
hex25dc8d8c0

10163378368 has 224 divisors, whose sum is σ = 25218127872. Its totient is φ = 3997593600.

The previous prime is 10163378363. The next prime is 10163378383. The reversal of 10163378368 is 86387336101.

It is a super-2 number, since 2×101633783682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (10163378363) 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, 11155833 + ... + 11156743.

It is an arithmetic number, because the mean of its divisors is an integer number (112580928).

Almost surely, 210163378368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10163378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609063936).

10163378368 is an abundant number, since it is smaller than the sum of its proper divisors (15054749504).

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

10163378368 is a wasteful number, since it uses less digits than its factorization.

10163378368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 10163378368 in words is "ten billion, one hundred sixty-three million, three hundred seventy-eight thousand, three hundred sixty-eight".