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56105536311 = 3211836827983
BaseRepresentation
bin110100010000001001…
…101000101100110111
312100211002110112220100
4310100021220230313
51404401004130221
641435144205143
74024230122106
oct642011505467
9170732415810
1056105536311
1121881126930
12aa597697b3
1353a196a1c6
142a0357203d
1516d58c7926
hexd10268b37

56105536311 has 24 divisors (see below), whose sum is σ = 89473902336. Its totient is φ = 33593671440.

The previous prime is 56105536273. The next prime is 56105536313. The reversal of 56105536311 is 11363550165.

56105536311 is a `hidden beast` number, since 5 + 6 + 10 + 5 + 5 + 3 + 631 + 1 = 666.

It is not a de Polignac number, because 56105536311 - 213 = 56105528119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56105536313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3405775 + ... + 3422208.

It is an arithmetic number, because the mean of its divisors is an integer number (3728079264).

Almost surely, 256105536311 is an apocalyptic number.

56105536311 is a deficient number, since it is larger than the sum of its proper divisors (33368366025).

56105536311 is a wasteful number, since it uses less digits than its factorization.

56105536311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828083 (or 6828080 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

It can be divided in two parts, 56105 and 536311, that added together give a triangular number (592416 = T1088).

The spelling of 56105536311 in words is "fifty-six billion, one hundred five million, five hundred thirty-six thousand, three hundred eleven".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 8217 6827983 20483949 61451847 75107813 225323439 566722589 675970317 1700167767 5100503301 6233948479 18701845437 56105536311