Search a number
-
+
45585630846 = 234740198969
BaseRepresentation
bin101010011101000111…
…011000011001111110
311100122221101222120000
4222131013120121332
51221324410141341
632535230135130
73202440316560
oct523507303176
9140587358500
1045585630846
111837299a188
128a026514a6
1343b6348582
1422c6355330
1512bc06d8b6
hexa9d1d867e

45585630846 has 40 divisors (see below), whose sum is σ = 116737808880. Its totient is φ = 13024465632.

The previous prime is 45585630841. The next prime is 45585630859. The reversal of 45585630846 is 64803658554.

45585630846 is a `hidden beast` number, since 4 + 558 + 5 + 6 + 3 + 0 + 84 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45585630792 and 45585630801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45585630841) 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, 20098351 + ... + 20100618.

It is an arithmetic number, because the mean of its divisors is an integer number (2918445222).

Almost surely, 245585630846 is an apocalyptic number.

45585630846 is an abundant number, since it is smaller than the sum of its proper divisors (71152178034).

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

45585630846 is a wasteful number, since it uses less digits than its factorization.

45585630846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40198990 (or 40198981 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 45585630846 in words is "forty-five billion, five hundred eighty-five million, six hundred thirty thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 40198969 80397938 120596907 241193814 281392783 361790721 562785566 723581442 844178349 1085372163 1688356698 2170744326 2532535047 3256116489 5065070094 6512232978 7597605141 15195210282 22792815423 45585630846