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56106629847 = 32172315943913
BaseRepresentation
bin110100010000001101…
…110011101011010111
312100211011112002221200
4310100031303223113
51404401244123342
641435223443543
74024242325212
oct642015635327
9170734462850
1056106629847
1121881803484
12aa59bb65b3
1353a1c60b78
142a03778779
1516d5a4194c
hexd10373ad7

56106629847 has 24 divisors (see below), whose sum is σ = 89541021024. Its totient is φ = 33673542144.

The previous prime is 56106629797. The next prime is 56106629863. The reversal of 56106629847 is 74892660165.

56106629847 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 6 + 629 + 8 + 4 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-56106629847 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56106629793 and 56106629802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56106629347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7968438 + ... + 7975475.

It is an arithmetic number, because the mean of its divisors is an integer number (3730875876).

Almost surely, 256106629847 is an apocalyptic number.

56106629847 is a deficient number, since it is larger than the sum of its proper divisors (33434391177).

56106629847 is a wasteful number, since it uses less digits than its factorization.

56106629847 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15943959 (or 15943956 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56106629847 in words is "fifty-six billion, one hundred six million, six hundred twenty-nine thousand, eight hundred forty-seven".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 15943913 47831739 143495217 271046521 366709999 813139563 1100129997 2439418689 3300389991 6234069983 18702209949 56106629847