Search a number
-
+
11396234940561 = 32181262172
BaseRepresentation
bin1010010111010110010010…
…0010010001000010010001
31111100110200012121012201100
42211311210202101002101
52443203442121044221
640123205201255013
72254231216461552
oct245654442210221
944313605535640
1011396234940561
1136a4130585439
121340800034469
13648877a0c973
142b581b6a0329
1514b697789926
hexa5d64891091

11396234940561 has 27 divisors (see below), whose sum is σ = 16555339638513. Its totient is φ = 7554299578560.

The previous prime is 11396234940547. The next prime is 11396234940577. The reversal of 11396234940561 is 16504943269311.

The square root of 11396234940561 is 3375831.

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

11396234940561 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 6 + 2 + 34 + 9 + 40 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2015221572225 + 9381013368336 = 1419585^2 + 3062844^2 .

It is not a de Polignac number, because 11396234940561 - 29 = 11396234940049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11396234940498 and 11396234940507.

It is not an unprimeable number, because it can be changed into a prime (11396234940661) 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 26 ways as a sum of consecutive naturals, for example, 1833073125 + ... + 1833079341.

Almost surely, 211396234940561 is an apocalyptic number.

11396234940561 is the 3375831-st square number.

11396234940561 is the 1687916-th centered octagonal number.

It is an amenable number.

11396234940561 is a deficient number, since it is larger than the sum of its proper divisors (5159104697952).

11396234940561 is an frugal number, since it uses more digits than its factorization.

11396234940561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12802 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 11396234940561 in words is "eleven trillion, three hundred ninety-six billion, two hundred thirty-four million, nine hundred forty thousand, five hundred sixty-one".

Divisors: 1 3 9 181 543 1629 6217 18651 32761 55953 98283 294849 1125277 3375831 10127493 38651089 115953267 203675137 347859801 611025411 1833076233 6995847109 20987541327 62962623981 1266248326729 3798744980187 11396234940561