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11364893694 = 232721129311303
BaseRepresentation
bin10101001010110011…
…01000001111111110
31002100001001102021200
422211121220033332
5141233403044234
65115421040330
7551430000600
oct124531501776
932301042250
1011364893694
114902205930
1222520b60a6
1310c16c698b
1479b537170
15467b1ad99
hex2a56683fe

11364893694 has 288 divisors, whose sum is σ = 33394083840. Its totient is φ = 2756073600.

The previous prime is 11364893633. The next prime is 11364893717. The reversal of 11364893694 is 49639846311.

11364893694 is a `hidden beast` number, since 11 + 36 + 489 + 36 + 94 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11364893694.

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, 8721447 + ... + 8722749.

It is an arithmetic number, because the mean of its divisors is an integer number (115951680).

Almost surely, 211364893694 is an apocalyptic number.

11364893694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364893694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16697041920).

11364893694 is an abundant number, since it is smaller than the sum of its proper divisors (22029190146).

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

11364893694 is a wasteful number, since it uses less digits than its factorization.

11364893694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1386 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 11364893694 in words is "eleven billion, three hundred sixty-four million, eight hundred ninety-three thousand, six hundred ninety-four".