Search a number
-
+
14211637164 = 2233235721271
BaseRepresentation
bin11010011110001010…
…00101111110101100
31100200102200222012000
431033011011332230
5213101134342124
610310112412300
71012114631334
oct151705057654
940612628160
1014211637164
11603310a38a
122907547090
13145640bc7a
1498b6480c4
155829da6c9
hex34f145fac

14211637164 has 48 divisors (see below), whose sum is σ = 38446947840. Its totient is φ = 4531245840.

The previous prime is 14211637123. The next prime is 14211637201. The reversal of 14211637164 is 46173611241.

14211637164 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 637 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2858152 + ... + 2863119.

It is an arithmetic number, because the mean of its divisors is an integer number (800978080).

Almost surely, 214211637164 is an apocalyptic number.

It is an amenable number.

14211637164 is an abundant number, since it is smaller than the sum of its proper divisors (24235310676).

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

14211637164 is a wasteful number, since it uses less digits than its factorization.

14211637164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5721307 (or 5721299 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 14211637164 in words is "fourteen billion, two hundred eleven million, six hundred thirty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 5721271 11442542 17163813 22885084 34327626 51491439 68655252 102982878 131589233 154474317 205965756 263178466 308948634 394767699 526356932 617897268 789535398 1184303097 1579070796 2368606194 3552909291 4737212388 7105818582 14211637164