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13001707620 = 223251141160159
BaseRepresentation
bin11000001101111011…
…00101000001100100
31020120010000011212200
430012331211001210
5203111414120440
65550051414500
7640123456056
oct140675450144
936503004780
1013001707620
115572141410
12262a2b4430
1312c284c025
148b4a918d6
1551168cc30
hex306f65064

13001707620 has 144 divisors (see below), whose sum is σ = 44073469440. Its totient is φ = 3075033600.

The previous prime is 13001707601. The next prime is 13001707633. The reversal of 13001707620 is 2670710031.

13001707620 is a `hidden beast` number, since 1 + 30 + 0 + 1 + 7 + 0 + 7 + 620 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1101 + ... + 161259.

It is an arithmetic number, because the mean of its divisors is an integer number (306065760).

Almost surely, 213001707620 is an apocalyptic number.

13001707620 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 13001707620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22036734720).

13001707620 is an abundant number, since it is smaller than the sum of its proper divisors (31071761820).

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

13001707620 is a wasteful number, since it uses less digits than its factorization.

13001707620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160226 (or 160221 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 13001707620 in words is "thirteen billion, one million, seven hundred seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 160159 320318 480477 640636 800795 960954 1441431 1601590 1761749 1921908 2402385 2882862 3203180 3523498 4804770 5285247 5765724 6566519 7046996 7207155 8808745 9609540 10570494 13133038 14414310 15855741 17617490 19699557 21140988 26266076 26426235 28828620 31711482 32832595 35234980 39399114 52852470 59098671 63422964 65665190 72231709 78798228 79278705 98497785 105704940 118197342 131330380 144463418 158557410 196995570 216695127 236394684 288926836 295493355 317114820 361158545 393991140 433390254 590986710 650085381 722317090 866780508 1083475635 1181973420 1300170762 1444634180 2166951270 2600341524 3250426905 4333902540 6500853810 13001707620