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645981768 = 23328971969
BaseRepresentation
bin100110100000001…
…110011001001000
31200000112021101200
4212200032121020
52310332404033
6144033344200
722002516525
oct4640163110
91600467350
10645981768
11301704733
12160408060
13a3aa8043
1461b1614c
153baa2013
hex2680e648

645981768 has 24 divisors (see below), whose sum is σ = 1749534150. Its totient is φ = 215327232.

The previous prime is 645981761. The next prime is 645981769. The reversal of 645981768 is 867189546.

It can be written as a sum of positive squares in only one way, i.e., 542796804 + 103184964 = 23298^2 + 10158^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×6459817683 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (645981761) 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 5 ways as a sum of consecutive naturals, for example, 4485913 + ... + 4486056.

Almost surely, 2645981768 is an apocalyptic number.

It is an amenable number.

645981768 is an abundant number, since it is smaller than the sum of its proper divisors (1103552382).

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

645981768 is a wasteful number, since it uses less digits than its factorization.

645981768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8971981 (or 8971974 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 645981768 is about 25416.1713875241. The cubic root of 645981768 is about 864.4504145863.

It can be divided in two parts, 64598 and 1768, that added together give a palindrome (66366).

The spelling of 645981768 in words is "six hundred forty-five million, nine hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8971969 17943938 26915907 35887876 53831814 71775752 80747721 107663628 161495442 215327256 322990884 645981768