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3648135636 = 2232606716703
BaseRepresentation
bin1101100101110010…
…0010000111010100
3100102020121111021200
43121130202013110
524432410320021
61402000112500
7156255432645
oct33134420724
910366544250
103648135636
111602306332
12859905730
13461a64a52
1426871d6cc
1516541e126
hexd97221d4

3648135636 has 36 divisors (see below), whose sum is σ = 9223748352. Its totient is φ = 1215771984.

The previous prime is 3648135619. The next prime is 3648135671. The reversal of 3648135636 is 6365318463.

3648135636 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 1 + 3 + 5 + 636 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 3648135591 and 3648135600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210061 + ... + 226763.

It is an arithmetic number, because the mean of its divisors is an integer number (256215232).

Almost surely, 23648135636 is an apocalyptic number.

3648135636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3648135636 is an abundant number, since it is smaller than the sum of its proper divisors (5575612716).

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

3648135636 is a wasteful number, since it uses less digits than its factorization.

3648135636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22780 (or 22775 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3648135636 is about 60399.7983109215. The cubic root of 3648135636 is about 1539.4195310498.

The spelling of 3648135636 in words is "three billion, six hundred forty-eight million, one hundred thirty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 6067 12134 16703 18201 24268 33406 36402 50109 54603 66812 72804 100218 109206 150327 200436 218412 300654 601308 101337101 202674202 304011303 405348404 608022606 912033909 1216045212 1824067818 3648135636