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11993586611328 = 2732717312822201
BaseRepresentation
bin1010111010000111100101…
…1110000011010010000000
31120110120112200011012110200
42232201321132003102000
53033000331133030303
641301435544525200
72345336154060240
oct256417136032200
946416480135420
1011993586611328
1139044a6a73a93
12141852ba80800
1368ccb4aa544a
142d66c7d21b20
1515bea9d7c3a3
hexae879783480

11993586611328 has 384 divisors, whose sum is σ = 43110603095040. Its totient is φ = 3121127424000.

The previous prime is 11993586611299. The next prime is 11993586611333. The reversal of 11993586611328 is 82311668539911.

11993586611328 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 3 + 5 + 8 + 6 + 611 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×119935866113282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 2838628 + ... + 5660828.

It is an arithmetic number, because the mean of its divisors is an integer number (112267195560).

Almost surely, 211993586611328 is an apocalyptic number.

11993586611328 is a gapful number since it is divisible by the number (18) 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 11993586611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555301547520).

11993586611328 is an abundant number, since it is smaller than the sum of its proper divisors (31117016483712).

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

11993586611328 is a wasteful number, since it uses less digits than its factorization.

11993586611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822276 (or 2822261 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 11993586611328 in words is "eleven trillion, nine hundred ninety-three billion, five hundred eighty-six million, six hundred eleven thousand, three hundred twenty-eight".