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11893600664100 = 2236525322412
BaseRepresentation
bin1010110100010011000111…
…0101111011101000100100
31120010000110110221211000000
42231010301311323220210
53024331043232222400
641143502243021300
72335166340411021
oct255046165735044
946100413854000
1011893600664100
113876058566a51
12140108696a830
1368373c17616c
142d1920abc548
151595a6ebb600
hexad131d7ba24

11893600664100 has 567 divisors, whose sum is σ = 39604186666569. Its totient is φ = 3098872857600.

The previous prime is 11893600663949. The next prime is 11893600664129. The reversal of 11893600664100 is 146600639811.

The square root of 11893600664100 is 3448710.

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

11893600664100 is a `hidden beast` number, since 1 + 189 + 360 + 0 + 6 + 6 + 4 + 100 = 666.

11893600664100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 2105813104164 + 9787787559936 = 1451142^2 + 3128544^2 .

It is a super-2 number, since 2×118936006641002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 49351039980 + ... + 49351040220.

Almost surely, 211893600664100 is an apocalyptic number.

11893600664100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11893600664100 is the 3448710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11893600664100

11893600664100 is an abundant number, since it is smaller than the sum of its proper divisors (27710586002469).

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

11893600664100 is an frugal number, since it uses more digits than its factorization.

11893600664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11893600664100 in words is "eleven trillion, eight hundred ninety-three billion, six hundred million, six hundred sixty-four thousand, one hundred".