Search a number
-
+
64414001106 = 23271339324787
BaseRepresentation
bin111011111111010111…
…111010011111010010
320011021010022021221200
4323333113322133102
52023404441013411
645331423332030
74440144655410
oct737727723722
9204233267850
1064414001106
112535502a464
1210598151016
1360c7082c70
143190bb42b0
151a20004e56
hexeff5fa7d2

64414001106 has 48 divisors (see below), whose sum is σ = 171770673984. Its totient is φ = 16988307552.

The previous prime is 64414001063. The next prime is 64414001107. The reversal of 64414001106 is 60110041446.

64414001106 is a `hidden beast` number, since 644 + 1 + 4 + 0 + 0 + 1 + 10 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64414001106.

It is not an unprimeable number, because it can be changed into a prime (64414001107) 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, 19660756 + ... + 19664031.

It is an arithmetic number, because the mean of its divisors is an integer number (3578555708).

Almost surely, 264414001106 is an apocalyptic number.

64414001106 is an abundant number, since it is smaller than the sum of its proper divisors (107356672878).

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

64414001106 is a wasteful number, since it uses less digits than its factorization.

64414001106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39324815 (or 39324812 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 64414001106 in words is "sixty-four billion, four hundred fourteen million, one thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 39324787 78649574 117974361 235948722 275273509 353923083 511222231 550547018 707846166 825820527 1022444462 1533666693 1651641054 2477461581 3067333386 3578555617 4601000079 4954923162 7157111234 9202000158 10735666851 21471333702 32207000553 64414001106