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26382321144 = 2332366421127
BaseRepresentation
bin11000100100100000…
…100100010111111000
32112002121222202221100
4120210200210113320
5413012333234034
620041520411400
71622531013114
oct304440442770
975077882840
1026382321144
11102091503a3
125143476b60
132645a3521a
1413c3bb6744
15a46224099
hex6248245f8

26382321144 has 24 divisors (see below), whose sum is σ = 71452119960. Its totient is φ = 8794107024.

The previous prime is 26382321139. The next prime is 26382321167. The reversal of 26382321144 is 44112328362.

26382321144 is a `hidden beast` number, since 2 + 638 + 2 + 3 + 2 + 1 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 26382321099 and 26382321108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 183210492 + ... + 183210635.

It is an arithmetic number, because the mean of its divisors is an integer number (2977171665).

Almost surely, 226382321144 is an apocalyptic number.

26382321144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26382321144 is an abundant number, since it is smaller than the sum of its proper divisors (45069798816).

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

26382321144 is a wasteful number, since it uses less digits than its factorization.

26382321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366421139 (or 366421132 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 26382321144 in words is "twenty-six billion, three hundred eighty-two million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 366421127 732842254 1099263381 1465684508 2198526762 2931369016 3297790143 4397053524 6595580286 8794107048 13191160572 26382321144