Search a number
-
+
114600164652 = 223217187255171
BaseRepresentation
bin110101010111010110…
…0111011110100101100
3101221210200102112221200
41222232230323310230
53334200120232102
6124351355125500
711164620220131
oct1525654736454
9357720375850
10114600164652
1144668894986
121a263443890
13aa6457411c
145792124588
152eaadbe51c
hex1aaeb3bd2c

114600164652 has 36 divisors (see below), whose sum is σ = 306723971736. Its totient is φ = 35952992640.

The previous prime is 114600164599. The next prime is 114600164671. The reversal of 114600164652 is 256461006411.

114600164652 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 0 + 0 + 1 + 646 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1146001646522 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93626974 + ... + 93628197.

It is an arithmetic number, because the mean of its divisors is an integer number (8520110326).

Almost surely, 2114600164652 is an apocalyptic number.

114600164652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114600164652 is an abundant number, since it is smaller than the sum of its proper divisors (192123807084).

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

114600164652 is a wasteful number, since it uses less digits than its factorization.

114600164652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187255198 (or 187255193 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 114600164652 in words is "one hundred fourteen billion, six hundred million, one hundred sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 187255171 374510342 561765513 749020684 1123531026 1685296539 2247062052 3183337907 3370593078 6366675814 6741186156 9550013721 12733351628 19100027442 28650041163 38200054884 57300082326 114600164652