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14922571680 = 25365314127
BaseRepresentation
bin11011110010111010…
…00101111110100000
31102111222110012000000
431321131011332200
5221030134243210
610504430300000
71035536523612
oct157135057640
942458405000
1014922571680
116368447a75
122a85657600
13153a7a9393
14a17c2adb2
155c511cac0
hex379745fa0

14922571680 has 336 divisors, whose sum is σ = 54575990784. Its totient is φ = 3850053120.

The previous prime is 14922571667. The next prime is 14922571687. The reversal of 14922571680 is 8617522941.

14922571680 is a `hidden beast` number, since 14 + 9 + 2 + 2 + 571 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14922571687) 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 55 ways as a sum of consecutive naturals, for example, 3613777 + ... + 3617903.

It is an arithmetic number, because the mean of its divisors is an integer number (162428544).

Almost surely, 214922571680 is an apocalyptic number.

14922571680 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 14922571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27287995392).

14922571680 is an abundant number, since it is smaller than the sum of its proper divisors (39653419104).

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

14922571680 is an equidigital number, since it uses as much as digits as its factorization.

14922571680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14922571680 in words is "fourteen billion, nine hundred twenty-two million, five hundred seventy-one thousand, six hundred eighty".