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3645444636 = 2233113298709
BaseRepresentation
bin1101100101001001…
…0001001000011100
3100102001112202221000
43121102101020130
524431213212021
61401422310300
7156223524321
oct33122211034
910361482830
103645444636
111600838569
12858a28390
13461331c42
1426821cb48
1516508bb26
hexd949121c

3645444636 has 48 divisors (see below), whose sum is σ = 9534823200. Its totient is φ = 1204390656.

The previous prime is 3645444631. The next prime is 3645444641. The reversal of 3645444636 is 6364445463.

3645444636 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 4 + 4 + 4 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (3645444631) and next prime (3645444641).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3645444591 and 3645444600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645444631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137151 + ... + 161558.

It is an arithmetic number, because the mean of its divisors is an integer number (198642150).

Almost surely, 23645444636 is an apocalyptic number.

3645444636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3645444636 is an abundant number, since it is smaller than the sum of its proper divisors (5889378564).

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

3645444636 is a wasteful number, since it uses less digits than its factorization.

3645444636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298835 (or 298827 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The square root of 3645444636 is about 60377.5176369483. The cubic root of 3645444636 is about 1539.0409269844.

The spelling of 3645444636 in words is "three billion, six hundred forty-five million, four hundred forty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 298709 597418 896127 1194836 1792254 2688381 3584508 5376762 8065143 10753524 16130286 32260572 33754117 67508234 101262351 135016468 202524702 303787053 405049404 607574106 911361159 1215148212 1822722318 3645444636