Search a number
-
+
12629692621 = 721325712671
BaseRepresentation
bin10111100001100100…
…11101000011001101
31012121011222212020101
423300302131003031
5201331200130441
65445122051101
7624655421200
oct136062350315
935534885211
1012629692621
1153a114aaa7
1225457a9a91
131263758500
1487b4d3937
154ddba6231
hex2f0c9d0cd

12629692621 has 36 divisors (see below), whose sum is σ = 15942573504. Its totient is φ = 9971488800.

The previous prime is 12629692613. The next prime is 12629692627.

12629692621 is nontrivially palindromic in base 10.

12629692621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12629692621 - 23 = 12629692613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12629692627) 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 35 ways as a sum of consecutive naturals, for example, 4727116 + ... + 4729786.

It is an arithmetic number, because the mean of its divisors is an integer number (442849264).

Almost surely, 212629692621 is an apocalyptic number.

It is an amenable number.

12629692621 is a deficient number, since it is larger than the sum of its proper divisors (3312880883).

12629692621 is a wasteful number, since it uses less digits than its factorization.

12629692621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3262 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The spelling of 12629692621 in words is "twelve billion, six hundred twenty-nine million, six hundred ninety-two thousand, six hundred twenty-one".

Divisors: 1 7 13 49 91 169 571 637 1183 2671 3997 7423 8281 18697 27979 34723 51961 96499 130879 243061 363727 451399 675493 1525141 1701427 3159793 4728451 10675987 19826833 22118551 74731909 138787831 257748829 971514817 1804241803 12629692621