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10164330000 = 2432541110267
BaseRepresentation
bin10010111011101011…
…10101111000010000
3222020100222110111200
421131311311320100
5131304032030000
64400332511200
7506611244106
oct113565657020
928210873450
1010164330000
114346554630
121b7801b500
13c5ca65a66
146c5cdbc76
153e751d500
hex25dd75e10

10164330000 has 300 divisors, whose sum is σ = 38781373488. Its totient is φ = 2463840000.

The previous prime is 10164329921. The next prime is 10164330017. The reversal of 10164330000 is 3346101.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 984867 + ... + 995133.

Almost surely, 210164330000 is an apocalyptic number.

10164330000 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 10164330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19390686744).

10164330000 is an abundant number, since it is smaller than the sum of its proper divisors (28617043488).

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

10164330000 is a wasteful number, since it uses less digits than its factorization.

10164330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10164330000 its reverse (3346101), we get a palindrome (10167676101).

The spelling of 10164330000 in words is "ten billion, one hundred sixty-four million, three hundred thirty thousand".