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45366366045 = 35721121339239
BaseRepresentation
bin101010010000000010…
…111100111101011101
311100002122211011210110
4222100002330331131
51220402242203140
632501354400233
73164135514600
oct522002747535
9140078734713
1045366366045
1118270149300
128961130079
13437caa76a0
1422a519a337
1512a7bab380
hexa900bcf5d

45366366045 has 144 divisors (see below), whose sum is σ = 99952755840. Its totient is φ = 17402837760.

The previous prime is 45366366043. The next prime is 45366366109. The reversal of 45366366045 is 54066366354.

45366366045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45366366045 - 21 = 45366366043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45366365985 and 45366366003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45366366043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1136536 + ... + 1175774.

It is an arithmetic number, because the mean of its divisors is an integer number (694116360).

Almost surely, 245366366045 is an apocalyptic number.

It is an amenable number.

45366366045 is an abundant number, since it is smaller than the sum of its proper divisors (54586389795).

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

45366366045 is a wasteful number, since it uses less digits than its factorization.

45366366045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39296 (or 39278 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 45366366045 in words is "forty-five billion, three hundred sixty-six million, three hundred sixty-six thousand, forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 121 143 147 165 195 231 245 273 363 385 429 455 539 605 637 715 735 847 1001 1155 1365 1573 1617 1815 1911 2145 2541 2695 3003 3185 4235 4719 5005 5929 7007 7865 8085 9555 11011 12705 15015 17787 21021 23595 29645 33033 35035 39239 55055 77077 88935 105105 117717 165165 196195 231231 274673 385385 431629 510107 588585 824019 1156155 1294887 1373365 1530321 1922711 2158145 2550535 3021403 3570749 4120095 4747919 5611177 5768133 6474435 7651605 9064209 9613555 10712247 14243757 15107015 16833531 17853745 21149821 23739595 24995243 28055885 28840665 33235433 39278239 45321045 53561235 61722947 63449463 71218785 74985729 84167655 99706299 105749105 117834717 124976215 166177165 185168841 196391195 232648031 274947673 308614735 317247315 374928645 432060629 498531495 589173585 697944093 824843019 925844205 1163240155 1296181887 1374738365 2160303145 3024424403 3489720465 4124215095 6480909435 9073273209 15122122015 45366366045