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11369634923808 = 2532722694336917
BaseRepresentation
bin1010010101110011001100…
…0011010000010100100000
31111020221000101222100112200
42211130303003100110200
52442240003020030213
640103045502453200
72252300103200400
oct245346303202440
944227011870480
1011369634923808
113693920566117
121337617894200
136461c8b65b95
142b4416a1a800
1514ab3c3b3273
hexa57330d0520

11369634923808 has 432 divisors, whose sum is σ = 37843631836920. Its totient is φ = 3228449882112.

The previous prime is 11369634923791. The next prime is 11369634923827. The reversal of 11369634923808 is 80832943696311.

11369634923808 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 9 + 63 + 492 + 3 + 80 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5485769677584 + 5883865246224 = 2342172^2 + 2425668^2 .

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1643719966 + ... + 1643726882.

Almost surely, 211369634923808 is an apocalyptic number.

11369634923808 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 11369634923808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18921815918460).

11369634923808 is an abundant number, since it is smaller than the sum of its proper divisors (26473996913112).

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

11369634923808 is a wasteful number, since it uses less digits than its factorization.

11369634923808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 11369634923808 in words is "eleven trillion, three hundred sixty-nine billion, six hundred thirty-four million, nine hundred twenty-three thousand, eight hundred eight".