Search a number
-
+
12736090762756 = 221132157912
BaseRepresentation
bin1011100101010101101000…
…1010100110111000000100
31200002120002001201012200021
42321111122022212320010
53132132003213402011
643030513533424524
72453103126163504
oct271253212467004
950076061635607
1012736090762756
11407038922a759
12151840b03b144
1371501504883a
14320604205a04
151714656b7471
hexb955a2a6e04

12736090762756 has 27 divisors (see below), whose sum is σ = 22488568806613. Its totient is φ = 6311291295680.

The previous prime is 12736090762709. The next prime is 12736090762757. The reversal of 12736090762756 is 65726709063721.

It is a happy number.

The square root of 12736090762756 is 3568766.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 224420112900 + 12511670649856 = 473730^2 + 3537184^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12736090762694 and 12736090762703.

It is not an unprimeable number, because it can be changed into a prime (12736090762757) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 806533221 + ... + 806549011.

Almost surely, 212736090762756 is an apocalyptic number.

12736090762756 is the 3568766-th square number.

It is an amenable number.

12736090762756 is a deficient number, since it is larger than the sum of its proper divisors (9752478043857).

12736090762756 is an frugal number, since it uses more digits than its factorization.

12736090762756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31812 (or 15906 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 61.

The spelling of 12736090762756 in words is "twelve trillion, seven hundred thirty-six billion, ninety million, seven hundred sixty-two thousand, seven hundred fifty-six".

Divisors: 1 2 4 113 226 452 12769 15791 25538 31582 51076 63164 1784383 3568766 7137532 201635279 249355681 403270558 498711362 806541116 997422724 28177191953 56354383906 112708767812 3184022690689 6368045381378 12736090762756