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13503379392 = 2632671312671
BaseRepresentation
bin11001001001101110…
…10011011111000000
31021212001222202011200
430210313103133000
5210123331120032
610111532141200
7655424555016
oct144467233700
937761882150
1013503379392
1157aa33a888
12274a307800
13137276b029
149215608b6
1554073647c
hex324dd37c0

13503379392 has 168 divisors, whose sum is σ = 39597372672. Its totient is φ = 4398451200.

The previous prime is 13503379391. The next prime is 13503379399. The reversal of 13503379392 is 29397330531.

13503379392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13503379391) 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 23 ways as a sum of consecutive naturals, for example, 5054217 + ... + 5056887.

Almost surely, 213503379392 is an apocalyptic number.

13503379392 is a gapful number since it is divisible by the number (12) 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 13503379392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798686336).

13503379392 is an abundant number, since it is smaller than the sum of its proper divisors (26093993280).

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

13503379392 is a wasteful number, since it uses less digits than its factorization.

13503379392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The spelling of 13503379392 in words is "thirteen billion, five hundred three million, three hundred seventy-nine thousand, three hundred ninety-two".