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11869490304 = 273373171931
BaseRepresentation
bin10110000110111101…
…00000110010000000
31010122012112120201000
423003132200302000
5143302042142204
65241444212000
7600065001000
oct130336406200
933565476630
1011869490304
115041021821
12237309a000
1311720cb059
14808568000
15497091039
hex2c37a0c80

11869490304 has 1024 divisors, whose sum is σ = 47001600000. Its totient is φ = 2926264320.

The previous prime is 11869490267. The next prime is 11869490329. The reversal of 11869490304 is 40309496811.

It is a self number, because there is not a number n which added to its sum of digits gives 11869490304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382886769 + ... + 382886799.

It is an arithmetic number, because the mean of its divisors is an integer number (45900000).

Almost surely, 211869490304 is an apocalyptic number.

11869490304 is a gapful number since it is divisible by the number (14) 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 11869490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800000).

11869490304 is an abundant number, since it is smaller than the sum of its proper divisors (35132109696).

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

11869490304 is a wasteful number, since it uses less digits than its factorization.

11869490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11869490304 in words is "eleven billion, eight hundred sixty-nine million, four hundred ninety thousand, three hundred four".