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14916086500 = 22537231271459
BaseRepresentation
bin11011110010001000…
…10110101011100100
31102111112020201000011
431321010112223210
5221022004232000
610504035300004
71035430433440
oct157104265344
942445221004
1014916086500
116364818617
122a8344a604
1315393485b3
14a1701d820
155c478b2ba
hex379116ae4

14916086500 has 192 divisors, whose sum is σ = 39182008320. Its totient is φ = 4849891200.

The previous prime is 14916086491. The next prime is 14916086503. The reversal of 14916086500 is 568061941.

14916086500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14916086503) 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 63 ways as a sum of consecutive naturals, for example, 10222771 + ... + 10224229.

It is an arithmetic number, because the mean of its divisors is an integer number (204072960).

Almost surely, 214916086500 is an apocalyptic number.

14916086500 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 14916086500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19591004160).

14916086500 is an abundant number, since it is smaller than the sum of its proper divisors (24265921820).

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

14916086500 is a wasteful number, since it uses less digits than its factorization.

14916086500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 14916086500 in words is "fourteen billion, nine hundred sixteen million, eighty-six thousand, five hundred".