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14691864100 = 2252172232312
BaseRepresentation
bin11011010111011010…
…00000111000100100
31101220220100000200211
431223231000320210
5220042104122400
610425505345204
71030035533014
oct155355007044
941826300624
1014691864100
11625a1a0a51
122a20338204
131501a60014
149d5333c44
155aec49dba
hex36bb40e24

14691864100 has 243 divisors, whose sum is σ = 36582424851. Its totient is φ = 5119910400.

The previous prime is 14691864097. The next prime is 14691864157. The reversal of 14691864100 is 146819641.

The square root of 14691864100 is 121210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 343657444 + 14348206656 = 18538^2 + 119784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 473931085 + ... + 473931115.

Almost surely, 214691864100 is an apocalyptic number.

14691864100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14691864100 is the 121210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14691864100

14691864100 is an abundant number, since it is smaller than the sum of its proper divisors (21890560751).

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

14691864100 is a wasteful number, since it uses less digits than its factorization.

14691864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 14691864100 in words is "fourteen billion, six hundred ninety-one million, eight hundred sixty-four thousand, one hundred".