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13289342880 = 25351143161
BaseRepresentation
bin11000110000001101…
…10100011110100000
31021022011020120021110
430120012310132200
5204204032433010
610034404423320
7650215356612
oct143006643640
937264216243
1013289342880
1156aa540000
1226aa6a7b40
13133a30aac8
14900d66db2
1552ba58120
hex3181b47a0

13289342880 has 480 divisors, whose sum is σ = 48311907840. Its totient is φ = 3066624000.

The previous prime is 13289342831. The next prime is 13289342909. The reversal of 13289342880 is 8824398231.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 217858050 + ... + 217858110.

It is an arithmetic number, because the mean of its divisors is an integer number (100649808).

Almost surely, 213289342880 is an apocalyptic number.

13289342880 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 13289342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24155953920).

13289342880 is an abundant number, since it is smaller than the sum of its proper divisors (35022564960).

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

13289342880 is an equidigital number, since it uses as much as digits as its factorization.

13289342880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 13289342880 in words is "thirteen billion, two hundred eighty-nine million, three hundred forty-two thousand, eight hundred eighty".