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10168983000 = 23345311101113
BaseRepresentation
bin10010111100001111…
…00101110111011000
3222020200201212020000
421132013211313120
5131311224424000
64401020333000
7506665633521
oct113607456730
928220655200
1010168983000
114349142490
121b796a4160
13c60a04907
146c678d848
153e7b3c000
hex25e1e5dd8

10168983000 has 640 divisors, whose sum is σ = 39508223040. Its totient is φ = 2419200000.

The previous prime is 10168982987. The next prime is 10168983017. The reversal of 10168983000 is 38986101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89990944 + ... + 89991056.

Almost surely, 210168983000 is an apocalyptic number.

10168983000 is a gapful number since it is divisible by the number (10) 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 10168983000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754111520).

10168983000 is an abundant number, since it is smaller than the sum of its proper divisors (29339240040).

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

10168983000 is a wasteful number, since it uses less digits than its factorization.

10168983000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10168983000 in words is "ten billion, one hundred sixty-eight million, nine hundred eighty-three thousand".