Search a number
-
+
126956961159 = 373594914259
BaseRepresentation
bin111011000111100111…
…0010111110110000111
3110010200211220212002120
41312033032113312013
54040001440224114
6134153452141023
712113053236000
oct1661716276607
9403624825076
10126956961159
1149929992aa6
1220731767773
13bc83601532
14620529c1a7
153480b1c5a9
hex1d8f397d87

126956961159 has 64 divisors (see below), whose sum is σ = 201208320000. Its totient is φ = 71155267680.

The previous prime is 126956961151. The next prime is 126956961211. The reversal of 126956961159 is 951169659621.

It is not a de Polignac number, because 126956961159 - 23 = 126956961151 is a prime.

It is a super-2 number, since 2×1269569611592 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126956961151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29806972 + ... + 29811230.

It is an arithmetic number, because the mean of its divisors is an integer number (3143880000).

Almost surely, 2126956961159 is an apocalyptic number.

126956961159 is a deficient number, since it is larger than the sum of its proper divisors (74251358841).

126956961159 is an equidigital number, since it uses as much as digits as its factorization.

126956961159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4819 counting only the distinct ones).

The product of its digits is 7873200, while the sum is 60.

The spelling of 126956961159 in words is "one hundred twenty-six billion, nine hundred fifty-six million, nine hundred sixty-one thousand, one hundred fifty-nine".

Divisors: 1 3 7 21 49 59 147 177 343 413 491 1029 1239 1473 2891 3437 4259 8673 10311 12777 20237 24059 28969 29813 60711 72177 86907 89439 168413 202783 208691 251281 505239 608349 626073 753843 1419481 1460837 1758967 2091169 4258443 4382511 5276901 6273507 9936367 12312769 14638183 29809101 36938307 43914549 86189383 102467281 123378971 258568149 307401843 370136913 717270967 863652797 2151812901 2590958391 6045569579 18136708737 42318987053 126956961159