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11987795904 = 2637289103139
BaseRepresentation
bin10110010101000011…
…10011111111000000
31010221110011010110220
423022201303333000
5144022333432104
65301312023040
7603032404200
oct131241637700
933843133426
1011987795904
1150a1886547
1223a6831a80
131190780976
1481a162400
154a265e7d9
hex2ca873fc0

11987795904 has 336 divisors, whose sum is σ = 37943942400. Its totient is φ = 3329593344.

The previous prime is 11987795887. The next prime is 11987795921. The reversal of 11987795904 is 40959778911.

11987795904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11987795887) and next prime (11987795921).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 86243067 + ... + 86243205.

It is an arithmetic number, because the mean of its divisors is an integer number (112928400).

Almost surely, 211987795904 is an apocalyptic number.

11987795904 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 11987795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18971971200).

11987795904 is an abundant number, since it is smaller than the sum of its proper divisors (25956146496).

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

11987795904 is a wasteful number, since it uses less digits than its factorization.

11987795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 60.

The spelling of 11987795904 in words is "eleven billion, nine hundred eighty-seven million, seven hundred ninety-five thousand, nine hundred four".