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14890697640 = 233357131031471
BaseRepresentation
bin11011101111000111…
…00000001110101000
31102102202110211001000
431313203200032220
5220444004311030
610501331155000
71035001561440
oct156743401650
942382424030
1014890697640
116351457595
122a76a45a60
131533cc93c0
14a138d1120
155c2423860
hex3778e03a8

14890697640 has 512 divisors, whose sum is σ = 61725081600. Its totient is φ = 3109155840.

The previous prime is 14890697639. The next prime is 14890697641. The reversal of 14890697640 is 4679609841.

14890697640 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 (14890697639) and next prime (14890697641).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14890697641) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 10122105 + ... + 10123575.

It is an arithmetic number, because the mean of its divisors is an integer number (120556800).

Almost surely, 214890697640 is an apocalyptic number.

14890697640 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 14890697640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862540800).

14890697640 is an abundant number, since it is smaller than the sum of its proper divisors (46834383960).

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

14890697640 is a wasteful number, since it uses less digits than its factorization.

14890697640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 14890697640 in words is "fourteen billion, eight hundred ninety million, six hundred ninety-seven thousand, six hundred forty".