Search a number
-
+
12705627025 = 5271321737683
BaseRepresentation
bin10111101010101000…
…00111101110010001
31012210110212201122201
423311110013232101
5202010120031100
65500433403201
7626600022250
oct136524075621
935713781581
1012705627025
11542aaa4703
122567109501
1312763c4200
1488761c797
154e56a536a
hex2f5507b91

12705627025 has 144 divisors (see below), whose sum is σ = 21233176704. Its totient is φ = 7353815040.

The previous prime is 12705627019. The next prime is 12705627031. The reversal of 12705627025 is 52072650721.

It is an interprime number because it is at equal distance from previous prime (12705627019) and next prime (12705627031).

It is not a de Polignac number, because 12705627025 - 217 = 12705495953 is a prime.

It is a super-2 number, since 2×127056270252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18602334 + ... + 18603016.

It is an arithmetic number, because the mean of its divisors is an integer number (147452616).

Almost surely, 212705627025 is an apocalyptic number.

It is an amenable number.

12705627025 is a deficient number, since it is larger than the sum of its proper divisors (8527549679).

12705627025 is a wasteful number, since it uses less digits than its factorization.

12705627025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 12705627025 in words is "twelve billion, seven hundred five million, six hundred twenty-seven thousand, twenty-five".

Divisors: 1 5 7 13 17 25 35 37 65 85 91 119 169 175 185 221 259 325 425 455 481 595 629 683 845 925 1105 1183 1295 1547 2275 2405 2873 2975 3145 3367 3415 4225 4403 4781 5525 5915 6253 6475 7735 8177 8879 11611 12025 14365 15725 16835 17075 20111 22015 23905 25271 29575 31265 38675 40885 43771 44395 57239 58055 62153 71825 81277 84175 100555 106301 110075 115427 119525 126355 150943 156325 176897 204425 218855 221975 286195 290275 310765 328523 406385 429607 502775 531505 577135 631775 744107 754715 807989 884485 1056601 1094275 1430975 1553825 1642615 1962259 2031925 2148035 2299661 2657525 2885675 3007249 3720535 3773575 4039945 4270799 4422425 5283005 5584891 8213075 9811295 10740175 11498305 13735813 15036245 18602675 20199725 21353995 26415025 27924455 29895593 39094237 49056475 57491525 68679065 72603583 75181225 106769975 139622275 149477965 195471185 343395325 363017915 508225081 747389825 977355925 1815089575 2541125405 12705627025