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11918070720 = 2632519353617
BaseRepresentation
bin10110001100101111…
…10101001111000000
31010202120221201111200
423012113311033000
5143402011230340
65250341341200
7601224633603
oct130627651700
933676851450
1011918070720
115066492a26
122387407800
13117c1aa26a
14810bb233a
1549b48a330
hex2c65f53c0

11918070720 has 336 divisors, whose sum is σ = 43343108640. Its totient is φ = 2997485568.

The previous prime is 11918070713. The next prime is 11918070743. The reversal of 11918070720 is 2707081911.

11918070720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19315852 + ... + 19316468.

Almost surely, 211918070720 is an apocalyptic number.

11918070720 is a gapful number since it is divisible by the number (10) 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 11918070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671554320).

11918070720 is an abundant number, since it is smaller than the sum of its proper divisors (31425037920).

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

11918070720 is a wasteful number, since it uses less digits than its factorization.

11918070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 11918070720 in words is "eleven billion, nine hundred eighteen million, seventy thousand, seven hundred twenty".