Search a number
-
+
11177006130636 = 22310114961892297
BaseRepresentation
bin1010001010100101100101…
…1110101110010111001100
31110120111210202220202212120
42202221121132232113030
52431111002032140021
635434351251132540
72232340426363323
oct242513136562714
943514722822776
1011177006130636
11361a161638795
1213062188a4150
13630caaa1c668
142a8d818c30ba
15145b161302c6
hexa2a597ae5cc

11177006130636 has 48 divisors (see below), whose sum is σ = 26514660463200. Its totient is φ = 3664023923200.

The previous prime is 11177006130553. The next prime is 11177006130701. The reversal of 11177006130636 is 63603160077111.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30765561 + ... + 31126736.

It is an arithmetic number, because the mean of its divisors is an integer number (552388759650).

Almost surely, 211177006130636 is an apocalyptic number.

It is an amenable number.

11177006130636 is an abundant number, since it is smaller than the sum of its proper divisors (15337654332564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11177006130636 is a wasteful number, since it uses less digits than its factorization.

11177006130636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61892554 (or 61892552 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 11177006130636 in words is "eleven trillion, one hundred seventy-seven billion, six million, one hundred thirty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 101 149 202 298 303 404 447 596 606 894 1212 1788 15049 30098 45147 60196 90294 180588 61892297 123784594 185676891 247569188 371353782 742707564 6251121997 9221952253 12502243994 18443904506 18753365991 25004487988 27665856759 36887809012 37506731982 55331713518 75013463964 110663427036 931417177553 1862834355106 2794251532659 3725668710212 5588503065318 11177006130636