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11714068080 = 243251121310343
BaseRepresentation
bin10101110100011011…
…00111111001110000
31010020101002022111100
422322031213321300
5142442300134310
65214213044400
7563166635661
oct127215477160
933211068440
1011714068080
114a71316800
12232b026700
131148b51140
147d1a6b368
154885deec0
hex2ba367e70

11714068080 has 360 divisors, whose sum is σ = 46571956704. Its totient is φ = 2621076480.

The previous prime is 11714068063. The next prime is 11714068087. The reversal of 11714068080 is 8086041711.

11714068080 is a `hidden beast` number, since 1 + 171 + 406 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11714068087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1127389 + ... + 1137731.

Almost surely, 211714068080 is an apocalyptic number.

11714068080 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 11714068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23285978352).

11714068080 is an abundant number, since it is smaller than the sum of its proper divisors (34857888624).

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

11714068080 is a wasteful number, since it uses less digits than its factorization.

11714068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10397 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11714068080 in words is "eleven billion, seven hundred fourteen million, sixty-eight thousand, eighty".