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1640014409 = 11296776733
BaseRepresentation
bin110000111000000…
…1010001001001001
311020021222100211102
41201300022021021
511324320430114
6430423111145
755432615055
oct14160121111
94207870742
101640014409
11771822110
123992a24b5
13201a06037
14117b4cc65
1598ea52de
hex61c0a249

1640014409 has 16 divisors (see below), whose sum is σ = 1878448320. Its totient is φ = 1418007360.

The previous prime is 1640014339. The next prime is 1640014427. The reversal of 1640014409 is 9044100461.

It is a happy number.

It is not a de Polignac number, because 1640014409 - 220 = 1638965833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1640014459) 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, 16994 + ... + 59739.

It is an arithmetic number, because the mean of its divisors is an integer number (117403020).

Almost surely, 21640014409 is an apocalyptic number.

It is an amenable number.

1640014409 is a deficient number, since it is larger than the sum of its proper divisors (238433911).

1640014409 is a wasteful number, since it uses less digits than its factorization.

1640014409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76840.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1640014409 is about 40497.0913646894. The cubic root of 1640014409 is about 1179.2771616740.

The spelling of 1640014409 in words is "one billion, six hundred forty million, fourteen thousand, four hundred nine".

Divisors: 1 11 29 67 319 737 1943 21373 76733 844063 2225257 5141111 24477827 56552221 149092219 1640014409