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11926199376 = 24337213192281
BaseRepresentation
bin10110001101101101…
…10101110001010000
31010210011020200221000
423012312311301100
5143411101340001
65251231502000
7601354010400
oct130666656120
933704220830
1011926199376
115070035123
12238a087900
131180a95110
14811cca800
1549c043a86
hex2c6db5c50

11926199376 has 480 divisors, whose sum is σ = 45161692800. Its totient is φ = 2978519040.

The previous prime is 11926199303. The next prime is 11926199401. The reversal of 11926199376 is 67399162911.

11926199376 is a `hidden beast` number, since 1 + 1 + 9 + 261 + 9 + 9 + 376 = 666.

11926199376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×119261993762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5227356 + ... + 5229636.

It is an arithmetic number, because the mean of its divisors is an integer number (94086860).

Almost surely, 211926199376 is an apocalyptic number.

11926199376 is a gapful number since it is divisible by the number (16) 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 11926199376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22580846400).

11926199376 is an abundant number, since it is smaller than the sum of its proper divisors (33235493424).

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

11926199376 is a wasteful number, since it uses less digits than its factorization.

11926199376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2325 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The spelling of 11926199376 in words is "eleven billion, nine hundred twenty-six million, one hundred ninety-nine thousand, three hundred seventy-six".