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45415501605 = 345433258977
BaseRepresentation
bin101010010010111110…
…011000111100100101
311100020002021112010000
4222102332120330211
51221002332022410
632510311451513
73165303252135
oct522276307445
9140202245100
1045415501605
1118295959601
128975686b99
13438a01c496
1422ab90aac5
1512ac164dc0
hexa92f98f25

45415501605 has 40 divisors (see below), whose sum is σ = 81599824152. Its totient is φ = 24165568512.

The previous prime is 45415501597. The next prime is 45415501619. The reversal of 45415501605 is 50610551454.

45415501605 is a `hidden beast` number, since 4 + 5 + 41 + 5 + 5 + 0 + 1 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217592001 + 45197909604 = 14751^2 + 212598^2 .

It is not a de Polignac number, because 45415501605 - 23 = 45415501597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45415501605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45877 + ... + 304853.

Almost surely, 245415501605 is an apocalyptic number.

45415501605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45415501605 is a deficient number, since it is larger than the sum of its proper divisors (36184322547).

45415501605 is a wasteful number, since it uses less digits than its factorization.

45415501605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259427 (or 259418 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 45415501605 in words is "forty-five billion, four hundred fifteen million, five hundred one thousand, six hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 433 1299 2165 3897 6495 11691 19485 35073 58455 175365 258977 776931 1294885 2330793 3884655 6992379 11653965 20977137 34961895 104885685 112137041 336411123 560685205 1009233369 1682055615 3027700107 5046166845 9083100321 15138500535 45415501605