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13453249920 = 2735114713553
BaseRepresentation
bin11001000011110000…
…00100110110000000
31021201120122220110120
430201320010312000
5210023012444140
610102541500240
7654245510655
oct144170046600
937646586416
1013453249920
115784010870
122735571680
131365268a16
14918a31c2c
1553b1331d0
hex321e04d80

13453249920 has 256 divisors, whose sum is σ = 47779476480. Its totient is φ = 3191767040.

The previous prime is 13453249891. The next prime is 13453249921. The reversal of 13453249920 is 2994235431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13453249921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985864 + ... + 999416.

It is an arithmetic number, because the mean of its divisors is an integer number (186638580).

Almost surely, 213453249920 is an apocalyptic number.

13453249920 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 13453249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889738240).

13453249920 is an abundant number, since it is smaller than the sum of its proper divisors (34326226560).

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

13453249920 is a wasteful number, since it uses less digits than its factorization.

13453249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13633 (or 13621 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13453249920 in words is "thirteen billion, four hundred fifty-three million, two hundred forty-nine thousand, nine hundred twenty".