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13145721088 = 28595991453
BaseRepresentation
bin11000011111000101…
…11100100100000000
31020221010222211012211
430033202330210000
5203410301033323
610012234231504
7643522533313
oct141742744400
936833884184
1013145721088
115636464905
12266a585594
1313166330b6
148c9c5c97a
1551e13870d
hex30f8bc900

13145721088 has 72 divisors (see below), whose sum is σ = 26747784000. Its totient is φ = 6446229504.

The previous prime is 13145721077. The next prime is 13145721101. The reversal of 13145721088 is 88012754131.

It is a self number, because there is not a number n which added to its sum of digits gives 13145721088.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9046570 + ... + 9048022.

It is an arithmetic number, because the mean of its divisors is an integer number (371497000).

Almost surely, 213145721088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13145721088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373892000).

13145721088 is an abundant number, since it is smaller than the sum of its proper divisors (13602062912).

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

13145721088 is an equidigital number, since it uses as much as digits as its factorization.

13145721088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 13145721088 in words is "thirteen billion, one hundred forty-five million, seven hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 599 944 1198 1453 1888 2396 2906 3776 4792 5812 7552 9584 11624 15104 19168 23248 35341 38336 46496 70682 76672 85727 92992 141364 153344 171454 185984 282728 342908 371968 565456 685816 870347 1130912 1371632 1740694 2261824 2743264 3481388 4523648 5486528 6962776 9047296 10973056 13925552 21946112 27851104 51350473 55702208 102700946 111404416 205401892 222808832 410803784 821607568 1643215136 3286430272 6572860544 13145721088