Search a number
-
+
36544106142 = 23241239920641
BaseRepresentation
bin100010000010001100…
…101100111010011110
310111022211011221100200
4202002030230322132
51044320242344032
624442123004330
72432411530335
oct420214547236
9114284157320
1036544106142
1114553216915
1270ba6696a6
1335a50b975b
141aa9610d1c
15e3d3dd47c
hex88232ce9e

36544106142 has 48 divisors (see below), whose sum is σ = 81147830400. Its totient is φ = 11878732800.

The previous prime is 36544106047. The next prime is 36544106143. The reversal of 36544106142 is 24160144563.

36544106142 is a `hidden beast` number, since 3 + 6 + 544 + 10 + 61 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 36544106097 and 36544106106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36544106143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1760142 + ... + 1780782.

It is an arithmetic number, because the mean of its divisors is an integer number (1690579800).

Almost surely, 236544106142 is an apocalyptic number.

36544106142 is an abundant number, since it is smaller than the sum of its proper divisors (44603724258).

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

36544106142 is a wasteful number, since it uses less digits than its factorization.

36544106142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23089 (or 23086 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 36544106142 in words is "thirty-six billion, five hundred forty-four million, one hundred six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 2399 4798 7197 14394 20641 21591 41282 43182 61923 98359 123846 185769 196718 295077 371538 590154 846281 885231 1692562 1770462 2538843 5077686 7616529 15233058 49517759 99035518 148553277 297106554 445659831 891319662 2030228119 4060456238 6090684357 12181368714 18272053071 36544106142