Search a number
-
+
26822171456 = 262921168491
BaseRepresentation
bin11000111110101110…
…011101101101000000
32120020021122111010122
4120332232131231000
5414412433441311
620153312115412
71636451460413
oct307656355500
976207574118
1026822171456
1110414464453
125246835b68
1326b5bba192
141426391b7a
15a6eb5a0db
hex63eb9db40

26822171456 has 56 divisors (see below), whose sum is σ = 55322358240. Its totient is φ = 12887078400.

The previous prime is 26822171429. The next prime is 26822171459. The reversal of 26822171456 is 65417122862.

It is a super-2 number, since 2×268221714562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26822171459) 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 7 ways as a sum of consecutive naturals, for example, 357371 + ... + 425861.

Almost surely, 226822171456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26822171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27661179120).

26822171456 is an abundant number, since it is smaller than the sum of its proper divisors (28500186784).

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

26822171456 is a wasteful number, since it uses less digits than its factorization.

26822171456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68743 (or 68733 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The spelling of 26822171456 in words is "twenty-six billion, eight hundred twenty-two million, one hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 211 232 422 464 844 928 1688 1856 3376 6119 6752 12238 13504 24476 48952 68491 97904 136982 195808 273964 391616 547928 1095856 1986239 2191712 3972478 4383424 7944956 14451601 15889912 28903202 31779824 57806404 63559648 115612808 127119296 231225616 419096429 462451232 838192858 924902464 1676385716 3352771432 6705542864 13411085728 26822171456