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12289998240 = 2533513218839
BaseRepresentation
bin10110111001000101…
…00111110110100000
31011201111210121011000
423130202213312200
5200132214420430
65351305152000
7613362155442
oct133442476640
934644717130
1012289998240
115237424643
12246ba8b600
13120b270010
1484834a492
154bde55e60
hex2dc8a7da0

12289998240 has 192 divisors, whose sum is σ = 46324051200. Its totient is φ = 3025216512.

The previous prime is 12289998239. The next prime is 12289998269. The reversal of 12289998240 is 4289998221.

12289998240 is a `hidden beast` number, since 1 + 228 + 99 + 98 + 240 = 666.

12289998240 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 (54).

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 31 ways as a sum of consecutive naturals, for example, 53260 + ... + 165579.

It is an arithmetic number, because the mean of its divisors is an integer number (241271100).

Almost surely, 212289998240 is an apocalyptic number.

12289998240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12289998240 is an abundant number, since it is smaller than the sum of its proper divisors (34034052960).

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

12289998240 is a wasteful number, since it uses less digits than its factorization.

12289998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218876 (or 218862 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12289998240 in words is "twelve billion, two hundred eighty-nine million, nine hundred ninety-eight thousand, two hundred forty".