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26363828832 = 2531144955603
BaseRepresentation
bin11000100011011010…
…000001101001100000
32112001100012021020220
4120203122001221200
5412443120010312
620040020203040
71622214563505
oct304332015140
975040167226
1026363828832
11101a976a8a0
125139239480
132641c5c123
1413c15614ac
15a447bec8c
hex623681a60

26363828832 has 96 divisors (see below), whose sum is σ = 75665923200. Its totient is φ = 7971102720.

The previous prime is 26363828819. The next prime is 26363828833. The reversal of 26363828832 is 23882836362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26363828833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446343 + ... + 501945.

It is an arithmetic number, because the mean of its divisors is an integer number (788186700).

Almost surely, 226363828832 is an apocalyptic number.

26363828832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26363828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37832961600).

26363828832 is an abundant number, since it is smaller than the sum of its proper divisors (49302094368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26363828832 is a wasteful number, since it uses less digits than its factorization.

26363828832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56076 (or 56068 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 26363828832 in words is "twenty-six billion, three hundred sixty-three million, eight hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 449 528 898 1056 1347 1796 2694 3592 4939 5388 7184 9878 10776 14368 14817 19756 21552 29634 39512 43104 55603 59268 79024 111206 118536 158048 166809 222412 237072 333618 444824 474144 611633 667236 889648 1223266 1334472 1779296 1834899 2446532 2668944 3669798 4893064 5337888 7339596 9786128 14679192 19572256 24965747 29358384 49931494 58716768 74897241 99862988 149794482 199725976 274623217 299588964 399451952 549246434 599177928 798903904 823869651 1098492868 1198355856 1647739302 2196985736 2396711712 3295478604 4393971472 6590957208 8787942944 13181914416 26363828832