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56105606061 = 32251191312983
BaseRepresentation
bin110100010000001001…
…111001101110101101
312100211002121002120200
4310100021321232231
51404401013343221
641435145504113
74024230532341
oct642011715655
9170732532520
1056105606061
112188117427a
12aa597a2039
1353a1992b8b
142a0358d621
1516d58dd426
hexd10279bad

56105606061 has 24 divisors (see below), whose sum is σ = 81413107776. Its totient is φ = 37232376000.

The previous prime is 56105606033. The next prime is 56105606093. The reversal of 56105606061 is 16060650165.

56105606061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56105606061 - 217 = 56105474989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56105606021) 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, 4314976 + ... + 4327958.

It is an arithmetic number, because the mean of its divisors is an integer number (3392212824).

Almost surely, 256105606061 is an apocalyptic number.

It is an amenable number.

56105606061 is a deficient number, since it is larger than the sum of its proper divisors (25307501715).

56105606061 is a wasteful number, since it uses less digits than its factorization.

56105606061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15153 (or 15150 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56105606061 in words is "fifty-six billion, one hundred five million, six hundred six thousand, sixty-one".

Divisors: 1 3 9 251 753 1913 2259 5739 12983 17217 38949 116847 480163 1440489 3258733 4321467 9776199 24836479 29328597 74509437 223528311 6233956229 18701868687 56105606061