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13019314262920 = 23574135561373
BaseRepresentation
bin1011110101110100101110…
…0110100001001110001000
31201002122010101200202002121
42331131023212201032020
53201302023422403140
643404553532141024
72512420513210000
oct275351346411610
951078111622077
1013019314262920
11416a507541359
121563292007774
13735940278964
143301d1207000
151789e00eb64a
hexbd74b9a1388

13019314262920 has 80 divisors (see below), whose sum is σ = 34173666771660. Its totient is φ = 4463764857216.

The previous prime is 13019314262879. The next prime is 13019314262963. The reversal of 13019314262920 is 2926241391031.

13019314262920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12989868389316 + 29445873604 = 3604146^2 + 171598^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67684647 + ... + 67876726.

Almost surely, 213019314262920 is an apocalyptic number.

13019314262920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13019314262920 is an abundant number, since it is smaller than the sum of its proper divisors (21154352508740).

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

13019314262920 is an equidigital number, since it uses as much as digits as its factorization.

13019314262920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135561412 (or 135561387 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 13019314262920 in words is "thirteen trillion, nineteen billion, three hundred fourteen million, two hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2401 2744 3430 4802 6860 9604 12005 13720 19208 24010 48020 96040 135561373 271122746 542245492 677806865 948929611 1084490984 1355613730 1897859222 2711227460 3795718444 4744648055 5422454920 6642507277 7591436888 9489296110 13285014554 18978592220 26570029108 33212536385 37957184440 46497550939 53140058216 66425072770 92995101878 132850145540 185990203756 232487754695 265700291080 325482856573 371980407512 464975509390 650965713146 929951018780 1301931426292 1627414282865 1859902037560 2603862852584 3254828565730 6509657131460 13019314262920