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26556461334 = 23313298914657
BaseRepresentation
bin11000101110111000…
…110111000100010110
32112112202200000101000
4120232320313010112
5413341423230314
620111101044130
71630044124344
oct305670670426
975482600330
1026556461334
1110298480507
125191856646
132672b36b60
1413dcd86994
15a56671209
hex62ee37116

26556461334 has 128 divisors (see below), whose sum is σ = 66488688000. Its totient is φ = 7800274944.

The previous prime is 26556461279. The next prime is 26556461369. The reversal of 26556461334 is 43316465562.

26556461334 is a `hidden beast` number, since 2 + 6 + 556 + 4 + 61 + 3 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 26556461334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1804534 + ... + 1819190.

It is an arithmetic number, because the mean of its divisors is an integer number (519442875).

Almost surely, 226556461334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26556461334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33244344000).

26556461334 is an abundant number, since it is smaller than the sum of its proper divisors (39932226666).

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

26556461334 is a wasteful number, since it uses less digits than its factorization.

26556461334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14799 (or 14793 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 26556461334 in words is "twenty-six billion, five hundred fifty-six million, four hundred sixty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 89 117 174 178 234 261 267 351 377 522 534 702 754 783 801 1131 1157 1566 1602 2262 2314 2403 2581 3393 3471 4806 5162 6786 6942 7743 10179 10413 14657 15486 20358 20826 23229 29314 31239 33553 43971 46458 62478 67106 69687 87942 100659 131913 139374 190541 201318 263826 301977 381082 395739 425053 571623 603954 791478 850106 905931 1143246 1275159 1304473 1714869 1811862 2550318 2608946 3429738 3825477 3913419 5144607 5525689 7650954 7826838 10289214 11051378 11476431 11740257 16577067 16958149 22952862 23480514 33154134 33916298 35220771 37829717 49731201 50874447 70441542 75659434 99462402 101748894 113489151 149193603 152623341 226978302 298387206 305246682 340467453 457870023 491786321 680934906 915740046 983572642 1021402359 1475358963 2042804718 2950717926 4426076889 8852153778 13278230667 26556461334