Search a number
-
+
233059988351772 = 22341742312997159
BaseRepresentation
bin110100111111011110000001…
…110100010010101100011100
31010120012022120022021002220000
4310333132001310102230130
5221021423324004224042
62143402140334454300
7100043012526603021
oct6477360164225434
91116168508232800
10233059988351772
11682952056216aa
1222180706664390
13a00760243a35a
14417a240da7548
151be2659cad74c
hexd3f781d12b1c

233059988351772 has 60 divisors (see below), whose sum is σ = 645103954701360. Its totient is φ = 73116859089024.

The previous prime is 233059988351741. The next prime is 233059988351779. The reversal of 233059988351772 is 277153889950332.

233059988351772 is a `hidden beast` number, since 2 + 3 + 30 + 5 + 9 + 9 + 8 + 8 + 3 + 517 + 72 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 233059988351772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233059988351779) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21156493072 + ... + 21156504087.

It is an arithmetic number, because the mean of its divisors is an integer number (10751732578356).

Almost surely, 2233059988351772 is an apocalyptic number.

It is an amenable number.

233059988351772 is an abundant number, since it is smaller than the sum of its proper divisors (412043966349588).

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

233059988351772 is a wasteful number, since it uses less digits than its factorization.

233059988351772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42312997192 (or 42312997181 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 233059988351772 in words is "two hundred thirty-three trillion, fifty-nine billion, nine hundred eighty-eight million, three hundred fifty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 42312997159 84625994318 126938991477 169251988636 253877982954 380816974431 507755965908 719320951703 761633948862 1142450923293 1438641903406 1523267897724 2157962855109 2284901846586 2877283806812 3427352769879 4315925710218 4569803693172 6473888565327 6854705539758 8631851420436 12947777130654 13709411079516 19421665695981 25895554261308 38843331391962 58264997087943 77686662783924 116529994175886 233059988351772