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45342600426 = 23219433306191
BaseRepresentation
bin101010001110101000…
…010010110011101010
311100001000002202111100
4222032220102303222
51220330201203201
632455145142230
73163426513224
oct521650226352
9140030082440
1045342600426
11182587968a2
12895518a976
134377ba62a6
1422a1d71414
1512a5a64886
hexa8ea12cea

45342600426 has 48 divisors (see below), whose sum is σ = 103652115840. Its totient is φ = 14285600640.

The previous prime is 45342600421. The next prime is 45342600427. The reversal of 45342600426 is 62400624354.

45342600426 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 2 + 600 + 42 + 6 = 666.

It is a super-3 number, since 3×453426004263 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45342600421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5010 + ... + 301181.

It is an arithmetic number, because the mean of its divisors is an integer number (2159419080).

Almost surely, 245342600426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45342600426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51826057920).

45342600426 is an abundant number, since it is smaller than the sum of its proper divisors (58309515414).

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

45342600426 is a wasteful number, since it uses less digits than its factorization.

45342600426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306651 (or 306648 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 45342600426 in words is "forty-five billion, three hundred forty-two million, six hundred thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 433 866 1299 2598 3897 7794 8227 16454 24681 49362 74043 148086 306191 612382 918573 1837146 2755719 5511438 5817629 11635258 17452887 34905774 52358661 104717322 132580703 265161406 397742109 795484218 1193226327 2386452654 2519033357 5038066714 7557100071 15114200142 22671300213 45342600426