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12513275016 = 2331126170639
BaseRepresentation
bin10111010011101100…
…10110110010001000
31012022001221020022020
423221312112302020
5201111344300031
65425402524440
7622043040234
oct135166266210
935261836266
1012513275016
115341465800
122512806720
1312455b7058
14869c6b5c4
154d385c096
hex2e9d96c88

12513275016 has 96 divisors (see below), whose sum is σ = 34949846400. Its totient is φ = 3729686400.

The previous prime is 12513274993. The next prime is 12513275053. The reversal of 12513275016 is 61057231521.

12513275016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141825 + ... + 212463.

It is an arithmetic number, because the mean of its divisors is an integer number (364060900).

Almost surely, 212513275016 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 12513275016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474923200).

12513275016 is an abundant number, since it is smaller than the sum of its proper divisors (22436571384).

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

12513275016 is a wasteful number, since it uses less digits than its factorization.

12513275016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70731 (or 70716 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 12513275016 in words is "twelve billion, five hundred thirteen million, two hundred seventy-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 121 122 132 183 242 244 264 363 366 484 488 671 726 732 968 1342 1452 1464 2013 2684 2904 4026 5368 7381 8052 14762 16104 22143 29524 44286 59048 70639 88572 141278 177144 211917 282556 423834 565112 777029 847668 1554058 1695336 2331087 3108116 4308979 4662174 6216232 8547319 8617958 9324348 12926937 17094638 17235916 18648696 25641957 25853874 34189276 34471832 47398769 51283914 51707748 68378552 94797538 102567828 103415496 142196307 189595076 205135656 284392614 379190152 521386459 568785228 1042772918 1137570456 1564159377 2085545836 3128318754 4171091672 6256637508 12513275016