Search a number
-
+
12695514912 = 253413673583
BaseRepresentation
bin10111101001011011…
…00010111100100000
31012202202211222110000
423310231202330200
5202000022434122
65455432540000
7626415045003
oct136455427440
935682758400
1012695514912
115425318293
122563851600
131274293602
1488614953a
154e48590ac
hex2f4b62f20

12695514912 has 120 divisors (see below), whose sum is σ = 37374898176. Its totient is φ = 4227562368.

The previous prime is 12695514893. The next prime is 12695514917. The reversal of 12695514912 is 21941559621.

12695514912 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 551 + 4 + 91 + 2 = 666.

12695514912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126955149122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12695514917) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3541473 + ... + 3545055.

Almost surely, 212695514912 is an apocalyptic number.

12695514912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12695514912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18687449088).

12695514912 is an abundant number, since it is smaller than the sum of its proper divisors (24679383264).

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

12695514912 is a wasteful number, since it uses less digits than its factorization.

12695514912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4955 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

It can be divided in two parts, 1269 and 5514912, that added together give a triangular number (5516181 = T3321).

The spelling of 12695514912 in words is "twelve billion, six hundred ninety-five million, five hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1367 2592 2734 3583 4101 5468 7166 8202 10749 10936 12303 14332 16404 21498 21872 24606 28664 32247 32808 36909 42996 43744 49212 57328 64494 65616 73818 85992 96741 98424 110727 114656 128988 131232 147636 171984 193482 196848 221454 257976 290223 295272 343968 386964 393696 442908 515952 580446 590544 773928 885816 1031904 1160892 1181088 1547856 1771632 2321784 3095712 3543264 4643568 4897961 9287136 9795922 14693883 19591844 29387766 39183688 44081649 58775532 78367376 88163298 117551064 132244947 156734752 176326596 235102128 264489894 352653192 396734841 470204256 528979788 705306384 793469682 1057959576 1410612768 1586939364 2115919152 3173878728 4231838304 6347757456 12695514912