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10802331616491 = 32194310559139133
BaseRepresentation
bin1001110100110001110100…
…1000111000010011101011
31102020200201001201101100100
42131030131020320103223
52403441133343211431
634550304520040443
72163304563511122
oct235143510702353
942220631641310
1010802331616491
113495274643798
121265693003123
1360486a199a0c
14294b9add2ab9
1513aed7c9e4e6
hex9d31d2384eb

10802331616491 has 48 divisors (see below), whose sum is σ = 16808277657600. Its totient is φ = 6663182855616.

The previous prime is 10802331616487. The next prime is 10802331616501. The reversal of 10802331616491 is 19461613320801.

10802331616491 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 23 + 3 + 1 + 616 + 4 + 9 + 1 = 666.

10802331616491 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10802331616491 - 22 = 10802331616487 is a prime.

It is a super-2 number, since 2×108023316164912 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10802331616421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77570761 + ... + 77709893.

It is an arithmetic number, because the mean of its divisors is an integer number (350172451200).

Almost surely, 210802331616491 is an apocalyptic number.

10802331616491 is a deficient number, since it is larger than the sum of its proper divisors (6005946041109).

10802331616491 is a wasteful number, since it uses less digits than its factorization.

10802331616491 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149760 (or 149757 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10802331616491 in words is "ten trillion, eight hundred two billion, three hundred thirty-one million, six hundred sixteen thousand, four hundred ninety-one".

Divisors: 1 3 9 19 43 57 129 171 387 817 2451 7353 10559 31677 95031 139133 200621 417399 454037 601863 1252197 1362111 1805589 2643527 4086333 5982719 7930581 8626703 17948157 23791743 25880109 53844471 77640327 113671661 341014983 1023044949 1469105347 4407316041 13221948123 27913001593 63171529921 83739004779 189514589763 251217014337 568543769289 1200259068499 3600777205497 10802331616491