Search a number
-
+
2656111806 = 2322331434813
BaseRepresentation
bin1001111001010001…
…0000110010111110
320212002221110102100
42132110100302332
520414431034211
61115321405530
7122551402125
oct23624206276
96762843370
102656111806
111143340127
126216398a6
1333438b1ba
141b2a8aabc
151082b6156
hex9e510cbe

2656111806 has 96 divisors (see below), whose sum is σ = 6344312832. Its totient is φ = 800331840.

The previous prime is 2656111793. The next prime is 2656111813. The reversal of 2656111806 is 6081116562.

2656111806 is a `hidden beast` number, since 2 + 6 + 561 + 11 + 80 + 6 = 666.

2656111806 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549456 + ... + 554268.

It is an arithmetic number, because the mean of its divisors is an integer number (66086592).

Almost surely, 22656111806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656111806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172156416).

2656111806 is an abundant number, since it is smaller than the sum of its proper divisors (3688201026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2656111806 is a wasteful number, since it uses less digits than its factorization.

2656111806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2656111806 is about 51537.4796240561. The cubic root of 2656111806 is about 1384.8905465946.

The spelling of 2656111806 in words is "two billion, six hundred fifty-six million, one hundred eleven thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 23 31 43 46 62 69 86 93 129 138 186 207 258 279 387 414 558 713 774 989 1333 1426 1978 2139 2666 2967 3999 4278 4813 5934 6417 7998 8901 9626 11997 12834 14439 17802 23994 28878 30659 43317 61318 86634 91977 110699 149203 183954 206959 221398 275931 298406 332097 413918 447609 551862 620877 664194 895218 996291 1241754 1342827 1862631 1992582 2685654 3431669 3725262 4760057 6415729 6863338 9520114 10295007 12831458 14280171 19247187 20590014 28560342 30885021 38494374 42840513 57741561 61770042 85681026 115483122 147561767 295123534 442685301 885370602 1328055903 2656111806