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13852798848 = 273471631171
BaseRepresentation
bin11001110011011000…
…01110111110000000
31022202102111002120000
430321230032332000
5211332304030343
610210333320000
71000166563440
oct147154167600
938672432500
1013852798848
1159695a8899
122827336000
1313c9c7cbc5
14955b1a120
15561257ed3
hex339b0ef80

13852798848 has 320 divisors, whose sum is σ = 47444622720. Its totient is φ = 3930301440.

The previous prime is 13852798783. The next prime is 13852798873. The reversal of 13852798848 is 84889725831.

13852798848 is a `hidden beast` number, since 13 + 8 + 527 + 98 + 8 + 4 + 8 = 666.

13852798848 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 (63).

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 39 ways as a sum of consecutive naturals, for example, 11829303 + ... + 11830473.

It is an arithmetic number, because the mean of its divisors is an integer number (148264446).

Almost surely, 213852798848 is an apocalyptic number.

13852798848 is a gapful number since it is divisible by the number (18) 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 13852798848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23722311360).

13852798848 is an abundant number, since it is smaller than the sum of its proper divisors (33591823872).

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

13852798848 is a wasteful number, since it uses less digits than its factorization.

13852798848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1346 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 13852798848 in words is "thirteen billion, eight hundred fifty-two million, seven hundred ninety-eight thousand, eight hundred forty-eight".