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14855242680 = 23325436714323
BaseRepresentation
bin11011101010111000…
…10000001110111000
31102100021202111222100
431311130100032320
5220410420231210
610454023223400
71034061323265
oct156534201670
942307674870
1014855242680
116333440773
122a66ba7b60
131529864535
14a0cd0226c
155be26d5c0
hex3757103b8

14855242680 has 192 divisors, whose sum is σ = 50143167360. Its totient is φ = 3811256064.

The previous prime is 14855242673. The next prime is 14855242697. The reversal of 14855242680 is 8624255841.

14855242680 is a `hidden beast` number, since 1 + 48 + 5 + 524 + 2 + 6 + 80 = 666.

14855242680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 47 ways as a sum of consecutive naturals, for example, 1029999 + ... + 1044321.

It is an arithmetic number, because the mean of its divisors is an integer number (261162330).

Almost surely, 214855242680 is an apocalyptic number.

14855242680 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 14855242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25071583680).

14855242680 is an abundant number, since it is smaller than the sum of its proper divisors (35287924680).

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

14855242680 is a wasteful number, since it uses less digits than its factorization.

14855242680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14450 (or 14443 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 14855242680 in words is "fourteen billion, eight hundred fifty-five million, two hundred forty-two thousand, six hundred eighty".