Search a number
-
+
12640380753 = 37111317247603
BaseRepresentation
bin10111100010110110…
…01110011101010001
31012121221002212121010
423301123032131101
5201341414141003
65450143121133
7625145315010
oct136133163521
935557085533
1012640380753
1153a7190170
1225492a31a9
131265a2b350
1487cab6a77
154deab8003
hex2f16ce751

12640380753 has 64 divisors (see below), whose sum is σ = 23960143872. Its totient is φ = 5704750080.

The previous prime is 12640380689. The next prime is 12640380757. The reversal of 12640380753 is 35708304621.

It is not a de Polignac number, because 12640380753 - 26 = 12640380689 is a prime.

It is a super-3 number, since 3×126403807533 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12640380757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72751 + ... + 174852.

It is an arithmetic number, because the mean of its divisors is an integer number (374377248).

Almost surely, 212640380753 is an apocalyptic number.

12640380753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12640380753 is a deficient number, since it is larger than the sum of its proper divisors (11319763119).

12640380753 is a wasteful number, since it uses less digits than its factorization.

12640380753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247654.

The product of its (nonzero) digits is 120960, while the sum is 39.

It can be divided in two parts, 12640 and 380753, that added together give a palindrome (393393).

The spelling of 12640380753 in words is "twelve billion, six hundred forty million, three hundred eighty thousand, seven hundred fifty-three".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 119 143 187 221 231 273 357 429 561 663 1001 1309 1547 2431 3003 3927 4641 7293 17017 51051 247603 742809 1733221 2723633 3218839 4209251 5199663 8170899 9656517 12627753 19065431 22531873 29464757 35407229 46301761 54720263 57196293 67595619 88394271 106221687 138905283 164160789 247850603 324112327 383041841 601922893 743551809 972336981 1149125523 1805768679 4213460251 12640380753