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1940759681 = 73121032801
BaseRepresentation
bin111001110101101…
…1010010010000001
312000020212210210012
41303223122102001
512433313302211
6520325114305
766044120330
oct16353322201
95006783705
101940759681
11906565523
12461b58995
1324c105113
14145a77d17
15b55aed8b
hex73ada481

1940759681 has 24 divisors (see below), whose sum is σ = 2314945152. Its totient is φ = 1593648000.

The previous prime is 1940759659. The next prime is 1940759699. The reversal of 1940759681 is 1869570491.

It is a de Polignac number, because none of the positive numbers 2k-1940759681 is a prime.

It is a super-2 number, since 2×19407596812 = 7533096278790443522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940759281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691481 + ... + 694281.

It is an arithmetic number, because the mean of its divisors is an integer number (96456048).

Almost surely, 21940759681 is an apocalyptic number.

It is an amenable number.

1940759681 is a deficient number, since it is larger than the sum of its proper divisors (374185471).

1940759681 is a wasteful number, since it uses less digits than its factorization.

1940759681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The square root of 1940759681 is about 44054.0540813215. The cubic root of 1940759681 is about 1247.3564786569.

The spelling of 1940759681 in words is "one billion, nine hundred forty million, seven hundred fifty-nine thousand, six hundred eighty-one".

Divisors: 1 7 31 103 217 721 961 2801 3193 6727 19607 22351 86831 98983 288503 607817 692881 2019521 2691761 8943593 18842327 62605151 277251383 1940759681