Search a number
-
+
12706345472 = 29314717033
BaseRepresentation
bin10111101010101101…
…10111001000000000
31012210112020020011212
423311112313020000
5202010311023342
65500501025252
7626606103662
oct136526671000
935715206155
1012706345472
115430445467
1225673b5228
1312765b6222
14887768532
154e5798182
hex2f55b7200

12706345472 has 80 divisors (see below), whose sum is σ = 26766001152. Its totient is φ = 6017064960.

The previous prime is 12706345429. The next prime is 12706345507. The reversal of 12706345472 is 27454360721.

It is a super-2 number, since 2×127063454722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 737468 + ... + 754500.

Almost surely, 212706345472 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 12706345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13383000576).

12706345472 is an abundant number, since it is smaller than the sum of its proper divisors (14059655680).

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

12706345472 is an equidigital number, since it uses as much as digits as its factorization.

12706345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17129 (or 17113 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 12706345472 in words is "twelve billion, seven hundred six million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 256 376 496 512 752 992 1457 1504 1984 2914 3008 3968 5828 6016 7936 11656 12032 15872 17033 23312 24064 34066 46624 68132 93248 136264 186496 272528 372992 528023 545056 745984 800551 1056046 1090112 1601102 2112092 2180224 3202204 4224184 4360448 6404408 8448368 8720896 12808816 16896736 24817081 25617632 33793472 49634162 51235264 67586944 99268324 102470528 135173888 198536648 204941056 270347776 397073296 409882112 794146592 1588293184 3176586368 6353172736 12706345472