Search a number
-
+
26540454402 = 23271163130347
BaseRepresentation
bin11000101101111011…
…110011001000000010
32112111122112202222200
4120231323303020002
5413323324020102
620105330014030
71626461066040
oct305573631002
975448482880
1026540454402
111028a438240
125188417316
13266c7210b7
1413dabbb390
15a5505d51c
hex62def3202

26540454402 has 96 divisors (see below), whose sum is σ = 71809680384. Its totient is φ = 6882472800.

The previous prime is 26540454379. The next prime is 26540454403. The reversal of 26540454402 is 20445404562.

26540454402 is a `hidden beast` number, since 26 + 540 + 4 + 54 + 40 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (26540454403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 859393 + ... + 889739.

It is an arithmetic number, because the mean of its divisors is an integer number (748017504).

Almost surely, 226540454402 is an apocalyptic number.

26540454402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26540454402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904840192).

26540454402 is an abundant number, since it is smaller than the sum of its proper divisors (45269225982).

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

26540454402 is a wasteful number, since it uses less digits than its factorization.

26540454402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31004 (or 31001 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 26540454402 its reverse (20445404562), we get a palindrome (46985858964).

The spelling of 26540454402 in words is "twenty-six billion, five hundred forty million, four hundred fifty-four thousand, four hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 631 693 1262 1386 1893 3786 4417 5679 6941 8834 11358 13251 13882 20823 26502 30347 39753 41646 48587 60694 62469 79506 91041 97174 124938 145761 182082 212429 273123 291522 333817 424858 437283 546246 637287 667634 874566 1001451 1274574 1911861 2002902 2336719 3004353 3823722 4673438 6008706 7010157 14020314 19148957 21030471 38297914 42060942 57446871 114893742 134042699 172340613 210638527 268085398 344681226 402128097 421277054 631915581 804256194 1206384291 1263831162 1474469689 1895746743 2412768582 2948939378 3791493486 4423409067 8846818134 13270227201 26540454402