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13041581280 = 25357213217193
BaseRepresentation
bin11000010010101011…
…01011110011100000
31020122220000222020220
430021111223303200
5203202121100110
65554034203040
7641116416600
oct141125536340
936586028226
1013041581280
1155926a6052
12263b723480
1312caba0200
148ba0b0c00
15514e17370
hex30956bce0

13041581280 has 864 divisors, whose sum is σ = 55074678624. Its totient is φ = 2576351232.

The previous prime is 13041581261. The next prime is 13041581339. The reversal of 13041581280 is 8218514031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67572864 + ... + 67573056.

It is an arithmetic number, because the mean of its divisors is an integer number (63743841).

Almost surely, 213041581280 is an apocalyptic number.

13041581280 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 13041581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27537339312).

13041581280 is an abundant number, since it is smaller than the sum of its proper divisors (42033097344).

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

13041581280 is a wasteful number, since it uses less digits than its factorization.

13041581280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 13041581280 in words is "thirteen billion, forty-one million, five hundred eighty-one thousand, two hundred eighty".