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3835640432745 = 3251127072862493
BaseRepresentation
bin110111110100001101111…
…111000100100001101001
3111120200110101011120221100
4313310031333010201221
51000320342422321440
612054022514032013
7544054513511232
oct67641577044151
914520411146840
103835640432745
111249760036070
1251b458278609
1321a9125b4624
14d3908838089
1569b9191e230
hex37d0dfc4869

3835640432745 has 48 divisors (see below), whose sum is σ = 7255529191872. Its totient is φ = 1859016804480.

The previous prime is 3835640432641. The next prime is 3835640432747. The reversal of 3835640432745 is 5472340465383.

3835640432745 is a `hidden beast` number, since 3 + 8 + 3 + 564 + 0 + 4 + 3 + 2 + 74 + 5 = 666.

It is not a de Polignac number, because 3835640432745 - 28 = 3835640432489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3835640432691 and 3835640432700.

It is not an unprimeable number, because it can be changed into a prime (3835640432747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91282 + ... + 2771211.

It is an arithmetic number, because the mean of its divisors is an integer number (151156858164).

Almost surely, 23835640432745 is an apocalyptic number.

It is an amenable number.

3835640432745 is a deficient number, since it is larger than the sum of its proper divisors (3419888759127).

3835640432745 is a wasteful number, since it uses less digits than its factorization.

3835640432745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865222 (or 2865219 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 3835640432745 in words is "three trillion, eight hundred thirty-five billion, six hundred forty million, four hundred thirty-two thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 2707 8121 13535 24363 29777 40605 89331 121815 148885 267993 446655 1339965 2862493 8587479 14312465 25762437 31487423 42937395 94462269 128812185 157437115 283386807 472311345 1416934035 7748768551 23246305653 38743842755 69738916959 85236454061 116231528265 255709362183 348694584795 426182270305 767128086549 1278546810915 3835640432745