Search a number
-
+
26444141444 = 22721725730881
BaseRepresentation
bin11000101000001100…
…011001001110000100
32112020221022120110002
4120220030121032010
5413124200011234
620052005420432
71624211331200
oct305014311604
975227276402
1026444141444
1110240034956
12516010a718
13265579b896
1413cc0a9b00
15a4b88627e
hex628319384

26444141444 has 72 divisors (see below), whose sum is σ = 57222987192. Its totient is φ = 10624696320.

The previous prime is 26444141441. The next prime is 26444141447. The reversal of 26444141444 is 44414144462.

It is an interprime number because it is at equal distance from previous prime (26444141441) and next prime (26444141447).

It can be written as a sum of positive squares in 4 ways, for example, as 22461016900 + 3983124544 = 149870^2 + 63112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 26444141398 and 26444141407.

It is not an unprimeable number, because it can be changed into a prime (26444141441) 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 23 ways as a sum of consecutive naturals, for example, 840884 + ... + 871764.

It is an arithmetic number, because the mean of its divisors is an integer number (794763711).

Almost surely, 226444141444 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 26444141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28611493596).

26444141444 is an abundant number, since it is smaller than the sum of its proper divisors (30778845748).

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

26444141444 is a wasteful number, since it uses less digits than its factorization.

26444141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31173 (or 31164 counting only the distinct ones).

The product of its digits is 196608, while the sum is 38.

The spelling of 26444141444 in words is "twenty-six billion, four hundred forty-four million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 257 476 514 833 1028 1666 1799 3332 3598 4369 7196 8738 12593 17476 25186 30583 30881 50372 61166 61762 122332 123524 214081 216167 428162 432334 524977 856324 864668 1049954 1513169 2099908 3026338 3674839 6052676 7349678 7936417 14699356 15872834 25723873 31745668 51447746 55554919 102895492 111109838 134919089 222219676 269838178 388884433 539676356 777768866 944433623 1555537732 1888867246 3777734492 6611035361 13222070722 26444141444