Search a number
-
+
183132318240 = 25325127175221
BaseRepresentation
bin1010101010001110001…
…0010110101000100000
3122111200210202200002100
42222203202112220200
511000023333140430
6220044013050400
716142122010154
oct2524342265040
9574623680070
10183132318240
1170736468243
122b5aa786a00
13143668767b1
148c13c07064
154b6c6d7960
hex2aa3896a20

183132318240 has 72 divisors (see below), whose sum is σ = 624939040908. Its totient is φ = 48835284480.

The previous prime is 183132318221. The next prime is 183132318277. The reversal of 183132318240 is 42813231381.

183132318240 is a `hidden beast` number, since 1 + 8 + 313 + 2 + 318 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 177803902224 + 5328416016 = 421668^2 + 72996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 183132318195 and 183132318204.

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, 63586171 + ... + 63589050.

Almost surely, 2183132318240 is an apocalyptic number.

183132318240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

183132318240 is an abundant number, since it is smaller than the sum of its proper divisors (441806722668).

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

183132318240 is a wasteful number, since it uses less digits than its factorization.

183132318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127175242 (or 127175231 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 183132318240 in words is "one hundred eighty-three billion, one hundred thirty-two million, three hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 127175221 254350442 381525663 508700884 635876105 763051326 1017401768 1144576989 1271752210 1526102652 1907628315 2034803536 2289153978 2543504420 3052205304 3815256630 4069607072 4578307956 5087008840 5722884945 6104410608 7630513260 9156615912 10174017680 11445769890 12208821216 15261026520 18313231824 20348035360 22891539780 30522053040 36626463648 45783079560 61044106080 91566159120 183132318240