Search a number
-
+
12790672997179 = 711219251078191
BaseRepresentation
bin1011101000100000111110…
…0001010011101100111011
31200021202221222211000020011
42322020033201103230323
53134030244241402204
643111542024242351
72460044541420340
oct272101741235473
950252858730204
1012790672997179
114091548500300
121526b026103b7
1371a20322547c
1432310132a7c7
15172aac491304
hexba20f853b3b

12790672997179 has 72 divisors (see below), whose sum is σ = 16963186458624. Its totient is φ = 9439190560800.

The previous prime is 12790672997177. The next prime is 12790672997183. The reversal of 12790672997179 is 97179927609721.

It is a happy number.

It is not a de Polignac number, because 12790672997179 - 21 = 12790672997177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12790672997173) 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 71 ways as a sum of consecutive naturals, for example, 1561547974 + ... + 1561556164.

Almost surely, 212790672997179 is an apocalyptic number.

12790672997179 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12790672997179 is a deficient number, since it is larger than the sum of its proper divisors (4172513461445).

12790672997179 is a wasteful number, since it uses less digits than its factorization.

12790672997179 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13335 counting only the distinct ones).

The product of its (nonzero) digits is 378071064, while the sum is 76.

The spelling of 12790672997179 in words is "twelve trillion, seven hundred ninety billion, six hundred seventy-two million, nine hundred ninety-seven thousand, one hundred seventy-nine".

Divisors: 1 7 11 19 77 121 133 209 361 847 1463 2299 2527 3971 5107 8191 16093 27797 35749 43681 56177 57337 90101 97033 155629 305767 393239 617947 630707 679231 991111 1067363 1089403 1711919 1843627 2956951 4325629 6937777 7471541 11740993 11983433 12905389 18831109 20279897 20698657 32526461 41831437 82186951 131817763 141959279 223078867 227685227 292820059 357791071 460145807 794797303 1561552069 2504537497 3221020649 5061603877 5563581121 8742770333 15101148757 35431227139 61199392331 96170473663 105708041299 166112636327 673193315641 1162788454289 1827238999597 12790672997179