Search a number
-
+
113675703552 = 283249338413
BaseRepresentation
bin110100111011110011…
…0011001010100000000
3101212102020220001201200
41221313212121110000
53330301440003202
6124115532501200
711132663352225
oct1516746312400
9355366801650
10113675703552
1144233a75644
121a04591a800
13a947b94918
14570543b94c
152e54b5ee1c
hex1a77999500

113675703552 has 54 divisors (see below), whose sum is σ = 327755084202. Its totient is φ = 37891900416.

The previous prime is 113675703511. The next prime is 113675703569. The reversal of 113675703552 is 255307576311.

113675703552 is a `hidden beast` number, since 1 + 13 + 67 + 570 + 3 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113606747136 + 68956416 = 337056^2 + 8304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113675703498 and 113675703507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24666903 + ... + 24671510.

Almost surely, 2113675703552 is an apocalyptic number.

113675703552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113675703552 is an abundant number, since it is smaller than the sum of its proper divisors (214079380650).

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

113675703552 is an equidigital number, since it uses as much as digits as its factorization.

113675703552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49338435 (or 49338418 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 113675703552 in words is "one hundred thirteen billion, six hundred seventy-five million, seven hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 49338413 98676826 148015239 197353652 296030478 394707304 444045717 592060956 789414608 888091434 1184121912 1578829216 1776182868 2368243824 3157658432 3552365736 4736487648 6315316864 7104731472 9472975296 12630633728 14209462944 18945950592 28418925888 37891901184 56837851776 113675703552