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36145346445 = 3451319361327
BaseRepresentation
bin100001101010011011…
…100011011110001101
310110022000211211220000
4201222123203132031
51043011202041240
624334400114513
72416500242535
oct415233433615
9113260754800
1036145346445
111436911884a
127009005a39
1335405c0880
141a6c6904c5
15e183c2430
hex86a6e378d

36145346445 has 80 divisors (see below), whose sum is σ = 73450755840. Its totient is φ = 16858025856.

The previous prime is 36145346441. The next prime is 36145346533. The reversal of 36145346445 is 54464354163.

36145346445 is a `hidden beast` number, since 3 + 6 + 14 + 534 + 64 + 45 = 666.

It is not a de Polignac number, because 36145346445 - 22 = 36145346441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 36145346445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36145346441) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 80629 + ... + 280698.

It is an arithmetic number, because the mean of its divisors is an integer number (918134448).

Almost surely, 236145346445 is an apocalyptic number.

It is an amenable number.

36145346445 is an abundant number, since it is smaller than the sum of its proper divisors (37305409395).

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

36145346445 is a wasteful number, since it uses less digits than its factorization.

36145346445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361376 (or 361367 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 36145346445 in words is "thirty-six billion, one hundred forty-five million, three hundred forty-six thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 855 1053 1235 1539 1755 2223 2565 3705 5265 6669 7695 11115 20007 33345 100035 361327 1083981 1806635 3251943 4697251 5419905 6865213 9755829 14091753 16259715 20595639 23486255 29267487 34326065 42275259 48779145 61786917 70458765 89247769 102978195 126825777 146337435 185360751 211376295 267743307 308934585 380477331 446238845 556082253 634128885 803229921 926803755 1338716535 1902386655 2409689763 2780411265 4016149605 7229069289 12048448815 36145346445