Search a number
-
+
126165435501 = 3719273227977
BaseRepresentation
bin111010110000000001…
…0111100010001101101
3110001122200112012000110
41311200002330101231
54031341322414001
6133543135050233
712054332336010
oct1654002742155
9401580465013
10126165435501
1149563110066
1220550670979
13bb88627961
14616c0db377
1534363bb3d6
hex1d600bc46d

126165435501 has 48 divisors (see below), whose sum is σ = 205683575424. Its totient is φ = 67364172288.

The previous prime is 126165435481. The next prime is 126165435509. The reversal of 126165435501 is 105534561621.

It is not a de Polignac number, because 126165435501 - 25 = 126165435469 is a prime.

It is a super-2 number, since 2×1261654355012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126165435501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126165435509) 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 47 ways as a sum of consecutive naturals, for example, 439425 + ... + 667401.

It is an arithmetic number, because the mean of its divisors is an integer number (4285074488).

Almost surely, 2126165435501 is an apocalyptic number.

It is an amenable number.

126165435501 is a deficient number, since it is larger than the sum of its proper divisors (79518139923).

126165435501 is a wasteful number, since it uses less digits than its factorization.

126165435501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228098 (or 228079 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 126165435501 in words is "one hundred twenty-six billion, one hundred sixty-five million, four hundred thirty-five thousand, five hundred one".

Divisors: 1 3 7 19 21 57 73 133 219 361 399 511 1083 1387 1533 2527 4161 7581 9709 26353 29127 79059 184471 227977 553413 683931 1595839 4331563 4787517 12994689 16642321 30320941 49926963 82299697 90962823 116496247 246899091 316204099 349488741 576097879 948612297 1728293637 2213428693 6007877881 6640286079 18023633643 42055145167 126165435501