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40893665511 = 323374328663
BaseRepresentation
bin100110000101011100…
…111101000011100111
310220112221122110010010
4212011130331003213
51132222234244021
630441501101303
72645245264416
oct460534750347
9126487573103
1040893665511
1116385454186
127b13257833
133b1926b91a
141d9d15947d
1510e51b1976
hex98573d0e7

40893665511 has 48 divisors (see below), whose sum is σ = 59830672896. Its totient is φ = 24779418048.

The previous prime is 40893665509. The next prime is 40893665569. The reversal of 40893665511 is 11556639804.

It is not a de Polignac number, because 40893665511 - 21 = 40893665509 is a prime.

It is a super-2 number, since 2×408936655112 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40893665411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716166 + ... + 4724828.

It is an arithmetic number, because the mean of its divisors is an integer number (1246472352).

Almost surely, 240893665511 is an apocalyptic number.

40893665511 is a deficient number, since it is larger than the sum of its proper divisors (18937007385).

40893665511 is a wasteful number, since it uses less digits than its factorization.

40893665511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8812 (or 8769 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 40893665511 in words is "forty billion, eight hundred ninety-three million, six hundred sixty-five thousand, five hundred eleven".

Divisors: 1 3 23 37 43 69 111 129 851 989 1591 1849 2553 2967 4773 5547 8663 25989 36593 42527 68413 109779 127581 199249 205239 320531 372509 597747 961593 1117527 1573499 4720497 7372213 8567707 13782833 16017887 22116639 25703121 41348499 48053661 317005159 368411401 592661819 951015477 1105234203 1777985457 13631221837 40893665511