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6110106426 = 2334119114449
BaseRepresentation
bin1011011000011000…
…01101001100111010
3120202211020120022000
411230030031030322
5100003141401201
62450144441430
7304262022234
oct55414151472
916684216260
106110106426
112655aa5436
121226319276
13764b3a6b8
1441d6b1254
1525b636d86
hex16c30d33a

6110106426 has 64 divisors (see below), whose sum is σ = 13982976000. Its totient is φ = 1976486400.

The previous prime is 6110106421. The next prime is 6110106433. The reversal of 6110106426 is 6246010116.

6110106426 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 10 + 642 + 6 = 666.

It is a super-3 number, since 3×61101064263 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6110106426.

It is not an unprimeable number, because it can be changed into a prime (6110106421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415650 + ... + 430098.

It is an arithmetic number, because the mean of its divisors is an integer number (218484000).

Almost surely, 26110106426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6110106426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991488000).

6110106426 is an abundant number, since it is smaller than the sum of its proper divisors (7872869574).

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

6110106426 is a wasteful number, since it uses less digits than its factorization.

6110106426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14692 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6110106426 is about 78167.1697453605. The cubic root of 6110106426 is about 1828.1686543474.

The spelling of 6110106426 in words is "six billion, one hundred ten million, one hundred six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 191 246 369 382 573 738 1107 1146 1719 2214 3438 5157 7831 10314 14449 15662 23493 28898 43347 46986 70479 86694 130041 140958 211437 260082 390123 422874 592409 780246 1184818 1777227 2759759 3554454 5331681 5519518 8279277 10663362 15995043 16558554 24837831 31990086 49675662 74513493 113150119 149026986 226300238 339450357 678900714 1018351071 2036702142 3055053213 6110106426