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3640676753 = 73767209801
BaseRepresentation
bin1101100100000000…
…0101000110010001
3100101201120112121202
43121000011012101
524424003124003
61401132200545
7156135145640
oct33100050621
910351515552
103640676753
1115a908136a
12857309155
134603529cc
1426773b357
15164949088
hexd9005191

3640676753 has 16 divisors (see below), whose sum is σ = 4337026944. Its totient is φ = 2990908800.

The previous prime is 3640676749. The next prime is 3640676759. The reversal of 3640676753 is 3576760463.

It is a cyclic number.

It is not a de Polignac number, because 3640676753 - 22 = 3640676749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3640676698 and 3640676707.

It is not an unprimeable number, because it can be changed into a prime (3640676759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87548 + ... + 122253.

It is an arithmetic number, because the mean of its divisors is an integer number (271064184).

Almost surely, 23640676753 is an apocalyptic number.

It is an amenable number.

3640676753 is a deficient number, since it is larger than the sum of its proper divisors (696350191).

3640676753 is a wasteful number, since it uses less digits than its factorization.

3640676753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209912.

The product of its (nonzero) digits is 1905120, while the sum is 47.

The square root of 3640676753 is about 60338.0207912059. The cubic root of 3640676753 is about 1538.3696628686.

The spelling of 3640676753 in words is "three billion, six hundred forty million, six hundred seventy-six thousand, seven hundred fifty-three".

Divisors: 1 7 37 67 259 469 2479 17353 209801 1468607 7762637 14056667 54338459 98396669 520096679 3640676753