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2540159999 = 131014993877
BaseRepresentation
bin1001011101100111…
…1100001111111111
320120000202111102222
42113121330033333
520200240104444
61100020235555
7116643001166
oct22731741777
96500674388
102540159999
111093943893
125aa83bbbb
13316350a70
141a15063dd
15ed00eeee
hex9767c3ff

2540159999 has 16 divisors (see below), whose sum is σ = 2768892000. Its totient is φ = 2316297600.

The previous prime is 2540159959. The next prime is 2540160011. The reversal of 2540159999 is 9999510452.

It is a Cunningham number, because it is equal to 504002-1.

It is a cyclic number.

It is not a de Polignac number, because 2540159999 - 224 = 2523382783 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2540159999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540159929) 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, 653249 + ... + 657125.

It is an arithmetic number, because the mean of its divisors is an integer number (173055750).

Almost surely, 22540159999 is an apocalyptic number.

2540159999 is a deficient number, since it is larger than the sum of its proper divisors (228732001).

2540159999 is a wasteful number, since it uses less digits than its factorization.

2540159999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490.

The product of its (nonzero) digits is 1312200, while the sum is 53.

The square root of 2540159999 is about 50399.9999900794. Note that the first 5 decimals coincide. The cubic root of 2540159999 is about 1364.4376379897.

The spelling of 2540159999 in words is "two billion, five hundred forty million, one hundred fifty-nine thousand, nine hundred ninety-nine".

Divisors: 1 13 101 499 1313 3877 6487 50399 50401 391577 655187 1934623 5090501 25150099 195396923 2540159999