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1640766441 = 317113284707
BaseRepresentation
bin110000111001100…
…0001101111101001
311020100101120102110
41201303001233221
511330014011231
6430451152533
755442166426
oct14163015751
94210346373
101640766441
11772196126
123995a5749
13201c0a422
14117ca6d4d
15990a3046
hex61cc1be9

1640766441 has 16 divisors (see below), whose sum is σ = 2336883264. Its totient is φ = 1020386304.

The previous prime is 1640766401. The next prime is 1640766473. The reversal of 1640766441 is 1446670461.

1640766441 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1640766441 - 26 = 1640766377 is a prime.

It is a super-3 number, since 3×16407664413 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1640766441.

It is not an unprimeable number, because it can be changed into a prime (1640766401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136591 + ... + 148116.

It is an arithmetic number, because the mean of its divisors is an integer number (146055204).

Almost surely, 21640766441 is an apocalyptic number.

It is an amenable number.

1640766441 is a deficient number, since it is larger than the sum of its proper divisors (696116823).

1640766441 is a wasteful number, since it uses less digits than its factorization.

1640766441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284840.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1640766441 is about 40506.3753130294. The cubic root of 1640766441 is about 1179.4573874565.

The spelling of 1640766441 in words is "one billion, six hundred forty million, seven hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 3 17 51 113 339 1921 5763 284707 854121 4840019 14520057 32171891 96515673 546922147 1640766441