Search a number
-
+
26540600034 = 23131919079391
BaseRepresentation
bin11000101101111100…
…010110101011100010
32112111122211011202110
4120231330112223202
5413323343200114
620105333100150
71626462243444
oct305574265342
975448734673
1026540600034
111028a5276a3
125188487656
13266c772480
1413dac18494
15a5508b759
hex62df16ae2

26540600034 has 64 divisors (see below), whose sum is σ = 60210984960. Its totient is φ = 7731650880.

The previous prime is 26540600017. The next prime is 26540600057. The reversal of 26540600034 is 43000604562.

It is a junction number, because it is equal to n+sod(n) for n = 26540599974 and 26540600010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2821479 + ... + 2830869.

It is an arithmetic number, because the mean of its divisors is an integer number (940796640).

Almost surely, 226540600034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26540600034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30105492480).

26540600034 is an abundant number, since it is smaller than the sum of its proper divisors (33670384926).

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

26540600034 is a wasteful number, since it uses less digits than its factorization.

26540600034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335.

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 26540600034 in words is "twenty-six billion, five hundred forty million, six hundred thousand, thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 1907 3814 5721 9391 11442 18782 24791 28173 36233 49582 56346 72466 74373 108699 122083 148746 178429 217398 244166 356858 366249 471029 535287 732498 942058 1070574 1413087 2319577 2826174 4639154 6958731 13917462 17908637 35817274 53725911 107451822 232812281 340264103 465624562 680528206 698436843 1020792309 1396873686 2041584618 4423433339 8846866678 13270300017 26540600034