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11809168900 = 2252108672
BaseRepresentation
bin10101111111110000…
…11001111000000100
31010111000000221021221
422333320121320010
5143141121401100
65231451250124
7565433164564
oct127770317004
933430027257
1011809168900
11500aa71421
122356a49944
13116276aa09
14800544da4
15491b2801a
hex2bfe19e04

11809168900 has 27 divisors (see below), whose sum is σ = 25628254869. Its totient is φ = 4723232880.

The previous prime is 11809168859. The next prime is 11809168961. The reversal of 11809168900 is 986190811.

It is a happy number.

The square root of 11809168900 is 108670.

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

It can be written as a sum of positive squares in only one way, i.e., 4251300804 + 7557868096 = 65202^2 + 86936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1081267 + ... + 1092133.

Almost surely, 211809168900 is an apocalyptic number.

11809168900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11809168900 is the 108670-th square number.

It is an amenable number.

11809168900 is an abundant number, since it is smaller than the sum of its proper divisors (13819085969).

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

11809168900 is an frugal number, since it uses more digits than its factorization.

11809168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21748 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 43.

The spelling of 11809168900 in words is "eleven billion, eight hundred nine million, one hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10867 21734 43468 54335 108670 217340 271675 543350 1086700 118091689 236183378 472366756 590458445 1180916890 2361833780 2952292225 5904584450 11809168900