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45413681418 = 23274311374177
BaseRepresentation
bin101010010010110111…
…011100100100001010
311100012221212001021200
4222102313130210022
51221001400301133
632510204445030
73165251631360
oct522267344412
9140187761250
1045413681418
1118294926016
128974b49776
134389832b51
1422ab595630
1512abe05913
hexa92ddc90a

45413681418 has 96 divisors (see below), whose sum is σ = 116087976576. Its totient is φ = 12561260544.

The previous prime is 45413681413. The next prime is 45413681437. The reversal of 45413681418 is 81418631454.

45413681418 is a `hidden beast` number, since 4 + 541 + 3 + 68 + 1 + 41 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (45413681413) 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 47 ways as a sum of consecutive naturals, for example, 575146 + ... + 649322.

It is an arithmetic number, because the mean of its divisors is an integer number (1209249756).

Almost surely, 245413681418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45413681418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58043988288).

45413681418 is an abundant number, since it is smaller than the sum of its proper divisors (70674295158).

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

45413681418 is a wasteful number, since it uses less digits than its factorization.

45413681418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74348 (or 74345 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 45413681418 in words is "forty-five billion, four hundred thirteen million, six hundred eighty-one thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 113 126 129 226 258 301 339 387 602 678 774 791 903 1017 1582 1806 2034 2373 2709 4746 4859 5418 7119 9718 14238 14577 29154 34013 43731 68026 74177 87462 102039 148354 204078 222531 306117 445062 519239 612234 667593 1038478 1335186 1557717 3115434 3189611 4673151 6379222 8382001 9346302 9568833 16764002 19137666 22327277 25146003 28706499 44654554 50292006 57412998 58674007 66981831 75438009 117348014 133963662 150876018 176022021 200945493 352044042 360426043 401890986 528066063 720852086 1056132126 1081278129 2162556258 2522982301 3243834387 5045964602 6487668774 7568946903 15137893806 22706840709 45413681418