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14991696720 = 243257112133161
BaseRepresentation
bin11011111011001001…
…10010001101010000
31102200210112002201200
431331210302031100
5221200333243340
610515340031200
71040336214420
oct157544621520
942623462650
1014991696720
1163a3470700
122aa4832500
13154bbcc880
14a230a2480
155cb224330
hex37d932350

14991696720 has 1440 divisors, whose sum is σ = 71460759552. Its totient is φ = 2737152000.

The previous prime is 14991696683. The next prime is 14991696743. The reversal of 14991696720 is 2769619941.

It is a happy number.

14991696720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 245765490 + ... + 245765550.

Almost surely, 214991696720 is an apocalyptic number.

14991696720 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 14991696720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35730379776).

14991696720 is an abundant number, since it is smaller than the sum of its proper divisors (56469062832).

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

14991696720 is a wasteful number, since it uses less digits than its factorization.

14991696720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 14991696720 in words is "fourteen billion, nine hundred ninety-one million, six hundred ninety-six thousand, seven hundred twenty".