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12244257025 = 5271113261617
BaseRepresentation
bin10110110011101000…
…01000100100000001
31011121022201200222221
423121310020210001
5200034012211100
65342552531041
7612265316230
oct133164104401
934538650887
1012244257025
115213622590
1224586b0a81
131201946200
14842240b17
154b9e1d01a
hex2d9d08901

12244257025 has 144 divisors (see below), whose sum is σ = 20867200128. Its totient is φ = 6918912000.

The previous prime is 12244256957. The next prime is 12244257061. The reversal of 12244257025 is 52075244221.

It is not a de Polignac number, because 12244257025 - 27 = 12244256897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19844517 + ... + 19845133.

It is an arithmetic number, because the mean of its divisors is an integer number (144911112).

Almost surely, 212244257025 is an apocalyptic number.

It is an amenable number.

12244257025 is a deficient number, since it is larger than the sum of its proper divisors (8622943103).

12244257025 is a wasteful number, since it uses less digits than its factorization.

12244257025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 34.

The spelling of 12244257025 in words is "twelve billion, two hundred forty-four million, two hundred fifty-seven thousand, twenty-five".

Divisors: 1 5 7 11 13 25 35 55 61 65 77 91 143 169 175 275 305 325 385 427 455 617 671 715 793 845 1001 1183 1525 1859 1925 2135 2275 3085 3355 3575 3965 4225 4319 4697 5005 5551 5915 6787 8021 8723 9295 10309 10675 13013 15425 16775 19825 21595 23485 25025 27755 29575 33935 37637 40105 43615 46475 47509 51545 56147 61061 65065 72163 88231 104273 107975 113399 117425 138775 169675 188185 200525 218075 237545 257725 263459 280735 305305 325325 360815 414007 441155 489281 521365 566995 617617 729911 793793 940925 1147003 1187725 1317295 1403675 1526525 1804075 2070035 2205775 2446405 2606825 2834975 2898049 3088085 3424967 3649555 3968965 5382091 5735015 6360653 6586475 8029021 10350175 12232025 14490245 15440425 17124835 18247775 19844825 26910455 28675075 31803265 37674637 40145105 44524571 69967183 72451225 85624175 134552275 159016325 188373185 200725525 222622855 349835915 489770281 941865925 1113114275 1749179575 2448851405 12244257025