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26438384768 = 271712149993
BaseRepresentation
bin11000100111110110…
…011011110010000000
32112020112111002202212
4120213312123302000
5413121211303033
620051242201252
71624111363655
oct304766336200
975215432685
1026438384768
1110237862874
12515a1b3228
132654534573
1413cb40bc2c
15a4b0ea748
hex627d9bc80

26438384768 has 32 divisors (see below), whose sum is σ = 55768472460. Its totient is φ = 12441591808.

The previous prime is 26438384737. The next prime is 26438384881. The reversal of 26438384768 is 86748383462.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26194775104 + 243609664 = 161848^2 + 15608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6072821 + ... + 6077172.

Almost surely, 226438384768 is an apocalyptic number.

It is an amenable number.

26438384768 is an abundant number, since it is smaller than the sum of its proper divisors (29330087692).

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

26438384768 is a wasteful number, since it uses less digits than its factorization.

26438384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12150024 (or 12150012 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 59.

The spelling of 26438384768 in words is "twenty-six billion, four hundred thirty-eight million, three hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 12149993 24299986 48599972 97199944 194399888 206549881 388799776 413099762 777599552 826199524 1555199104 1652399048 3304798096 6609596192 13219192384 26438384768