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11713556131200 = 27325271117310711
BaseRepresentation
bin1010101001110100011001…
…0110100010110110000000
31112110210201212101220002200
42222131012112202312000
53013403330332144300
640525044451513200
72316163561213260
oct252350626426600
945423655356080
1011713556131200
113806767078620
1213921ba2b8800
1366c77823bab1
142c6d2100d7a0
15154a6a918200
hexaa7465a2d80

11713556131200 has 1152 divisors, whose sum is σ = 55175590679040. Its totient is φ = 2290802688000.

The previous prime is 11713556131141. The next prime is 11713556131243. The reversal of 11713556131200 is 213165531711.

11713556131200 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 35 + 5 + 613 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×117135561312002 (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 37543845 + ... + 37854555.

It is an arithmetic number, because the mean of its divisors is an integer number (47895478020).

Almost surely, 211713556131200 is an apocalyptic number.

11713556131200 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 11713556131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27587795339520).

11713556131200 is an abundant number, since it is smaller than the sum of its proper divisors (43462034547840).

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

11713556131200 is a wasteful number, since it uses less digits than its factorization.

11713556131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310776 (or 310756 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 11713556131200 in words is "eleven trillion, seven hundred thirteen billion, five hundred fifty-six million, one hundred thirty-one thousand, two hundred".