Search a number
-
+
26479541814 = 23114367157887
BaseRepresentation
bin11000101010010011…
…011011111000110110
32112100101221002121220
4120222103123320312
5413212230314224
620055312251210
71625121251235
oct305223337066
975311832556
1026479541814
1110259013760
12516bb40b06
13265cc1494b
1413d2a82b1c
15a4ea2a279
hex62a4dbe36

26479541814 has 128 divisors (see below), whose sum is σ = 60449697792. Its totient is φ = 7662695040.

The previous prime is 26479541813. The next prime is 26479541827. The reversal of 26479541814 is 41814597462.

It is a super-2 number, since 2×264795418142 (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 (26479541813) 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 63 ways as a sum of consecutive naturals, for example, 29852479 + ... + 29853365.

It is an arithmetic number, because the mean of its divisors is an integer number (472263264).

Almost surely, 226479541814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26479541814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30224848896).

26479541814 is an abundant number, since it is smaller than the sum of its proper divisors (33970155978).

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

26479541814 is a wasteful number, since it uses less digits than its factorization.

26479541814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170.

The product of its digits is 1935360, while the sum is 51.

The spelling of 26479541814 in words is "twenty-six billion, four hundred seventy-nine million, five hundred forty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 22 33 43 66 67 86 129 134 157 201 258 314 402 471 473 737 887 942 946 1419 1474 1727 1774 2211 2661 2838 2881 3454 4422 5181 5322 5762 6751 8643 9757 10362 10519 13502 17286 19514 20253 21038 29271 31557 31691 38141 40506 58542 59429 63114 63382 74261 76282 95073 114423 115709 118858 139259 148522 178287 190146 222783 228846 231418 278518 347127 356574 417777 419551 445566 452317 653719 694254 835554 839102 904634 1258653 1307438 1356951 1531849 1961157 2517306 2555447 2713902 3063698 3922314 4595547 4975487 5110894 5988137 7666341 9191094 9330353 9950974 11976274 14926461 15332682 17964411 18660706 27991059 28109917 29852922 35928822 55982118 56219834 65869507 84329751 102633883 131739014 168659502 197608521 205267766 307901649 395217042 401205179 615803298 802410358 1203615537 2407231074 4413256969 8826513938 13239770907 26479541814