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11629779561 = 322335545913
BaseRepresentation
bin10101101010011000…
…00101101001101001
31010000111111000101100
422311030011221221
5142304210421221
65202002312013
7561124331601
oct126514055151
933014430340
1011629779561
114a28786574
122306958609
13113454ba8a
147c47a9c01
15480ee0926
hex2b5305a69

11629779561 has 12 divisors (see below), whose sum is σ = 16870670388. Its totient is φ = 7719909504.

The previous prime is 11629779541. The next prime is 11629779563. The reversal of 11629779561 is 16597792611.

11629779561 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 9 + 7 + 79 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4268139561 + 7361640000 = 65331^2 + 85800^2 .

It is not a de Polignac number, because 11629779561 - 217 = 11629648489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11629779498 and 11629779507.

It is not an unprimeable number, because it can be changed into a prime (11629779563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2770860 + ... + 2775053.

It is an arithmetic number, because the mean of its divisors is an integer number (1405889199).

Almost surely, 211629779561 is an apocalyptic number.

It is an amenable number.

11629779561 is a deficient number, since it is larger than the sum of its proper divisors (5240890827).

11629779561 is a wasteful number, since it uses less digits than its factorization.

11629779561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546152 (or 5546149 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 54.

The spelling of 11629779561 in words is "eleven billion, six hundred twenty-nine million, seven hundred seventy-nine thousand, five hundred sixty-one".

Divisors: 1 3 9 233 699 2097 5545913 16637739 49913217 1292197729 3876593187 11629779561