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12502709442 = 23237109117207
BaseRepresentation
bin10111010010011100…
…00011010011000010
31012021100001110001200
423221032003103002
5201101143200232
65424344242030
7621554163636
oct135116032302
935240043050
1012502709442
1153364a9723
12250b170316
131243357c32
148686badc6
154d297177c
hex2e93834c2

12502709442 has 48 divisors (see below), whose sum is σ = 27848463552. Its totient is φ = 4050980640.

The previous prime is 12502709407. The next prime is 12502709447. The reversal of 12502709442 is 24490720521.

It is a junction number, because it is equal to n+sod(n) for n = 12502709397 and 12502709406.

It is not an unprimeable number, because it can be changed into a prime (12502709447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718003 + ... + 735209.

It is an arithmetic number, because the mean of its divisors is an integer number (580176324).

Almost surely, 212502709442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12502709442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924231776).

12502709442 is an abundant number, since it is smaller than the sum of its proper divisors (15345754110).

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

12502709442 is a wasteful number, since it uses less digits than its factorization.

12502709442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18343 (or 18340 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 1250270 and 9442, that added together give a cube (1259712 = 1083).

The spelling of 12502709442 in words is "twelve billion, five hundred two million, seven hundred nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1091 2182 3273 6546 9819 17207 19638 34414 40367 51621 80734 103242 121101 154863 242202 309726 363303 636659 726606 1273318 1909977 3819954 5729931 11459862 18772837 37545674 56318511 112637022 168955533 337911066 694594969 1389189938 2083784907 4167569814 6251354721 12502709442