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1640341521 = 3271313115289
BaseRepresentation
bin110000111000101…
…1010000000010001
311020022120222112200
41201301122000101
511324411412041
6430434113413
755435446540
oct14161320021
94208528480
101640341521
11771a25955
1239941b869
13201abbbb0
14117bd6157
159901c1b6
hex61c5a011

1640341521 has 48 divisors (see below), whose sum is σ = 2938615680. Its totient is φ = 858574080.

The previous prime is 1640341519. The next prime is 1640341537. The reversal of 1640341521 is 1251430461.

It is a happy number.

1640341521 is a `hidden beast` number, since 1 + 640 + 3 + 4 + 15 + 2 + 1 = 666.

It is not a de Polignac number, because 1640341521 - 21 = 1640341519 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1640341121) 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 47 ways as a sum of consecutive naturals, for example, 99645 + ... + 114933.

It is an arithmetic number, because the mean of its divisors is an integer number (61221160).

Almost surely, 21640341521 is an apocalyptic number.

It is an amenable number.

1640341521 is a deficient number, since it is larger than the sum of its proper divisors (1298274159).

1640341521 is a wasteful number, since it uses less digits than its factorization.

1640341521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446 (or 15443 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1640341521 is about 40501.1298731282. The cubic root of 1640341521 is about 1179.3555614052.

Adding to 1640341521 its reverse (1251430461), we get a palindrome (2891771982).

The spelling of 1640341521 in words is "one billion, six hundred forty million, three hundred forty-one thousand, five hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 131 273 393 819 917 1179 1703 2751 5109 8253 11921 15289 15327 35763 45867 107023 107289 137601 198757 321069 596271 963207 1391299 1788813 2002859 4173897 6008577 12521691 14020013 18025731 26037167 42060039 78111501 126180117 182260169 234334503 546780507 1640341521