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45000245682 = 2337891337621
BaseRepresentation
bin101001111010001110…
…010100000110110010
311022011010220100002000
4221322032110012302
51214130030330212
632401155234430
73152101530360
oct517216240662
9138133810060
1045000245682
11180a2513697
12887a5a8a16
134321c98c12
14226c6d4630
15128598b1dc
hexa7a3941b2

45000245682 has 64 divisors (see below), whose sum is σ = 115570540800. Its totient is φ = 12712740480.

The previous prime is 45000245681. The next prime is 45000245707. The reversal of 45000245682 is 28654200054.

It is a happy number.

45000245682 is a `hidden beast` number, since 4 + 500 + 0 + 24 + 56 + 82 = 666.

It is a super-2 number, since 2×450002456822 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45000245681) 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 31 ways as a sum of consecutive naturals, for example, 635169 + ... + 702452.

It is an arithmetic number, because the mean of its divisors is an integer number (1805789700).

Almost surely, 245000245682 is an apocalyptic number.

45000245682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

45000245682 is an abundant number, since it is smaller than the sum of its proper divisors (70570295118).

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

45000245682 is a wasteful number, since it uses less digits than its factorization.

45000245682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337728 (or 1337722 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45000245682 in words is "forty-five billion, two hundred forty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 378 534 623 801 1246 1602 1869 2403 3738 4806 5607 11214 16821 33642 1337621 2675242 4012863 8025726 9363347 12038589 18726694 24077178 28090041 36115767 56180082 72231534 84270123 119048269 168540246 238096538 252810369 357144807 505620738 714289614 833337883 1071434421 1666675766 2142868842 2500013649 3214303263 5000027298 6428606526 7500040947 15000081894 22500122841 45000245682