Search a number
-
+
26646513728 = 2617731132969
BaseRepresentation
bin11000110100010000…
…011000100001000000
32112210001010011000212
4120310100120201000
5414033001414403
620124035133252
71632216425642
oct306420304100
975701104025
1026646513728
111033429817a
1251b7a44228
1326886a68b3
14140ad08892
15a5e50d4d8
hex634418840

26646513728 has 112 divisors (see below), whose sum is σ = 57275547120. Its totient is φ = 12254183424.

The previous prime is 26646513703. The next prime is 26646513737. The reversal of 26646513728 is 82731564662.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6085248064 + 20561265664 = 78008^2 + 143392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8973428 + ... + 8976396.

Almost surely, 226646513728 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 26646513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28637773560).

26646513728 is an abundant number, since it is smaller than the sum of its proper divisors (30629033392).

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

26646513728 is a wasteful number, since it uses less digits than its factorization.

26646513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3174 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 50.

The spelling of 26646513728 in words is "twenty-six billion, six hundred forty-six million, five hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 113 136 146 226 272 292 452 544 584 904 1088 1168 1241 1808 1921 2336 2482 2969 3616 3842 4672 4964 5938 7232 7684 8249 9928 11876 15368 16498 19856 23752 30736 32996 39712 47504 50473 61472 65992 79424 95008 100946 122944 131984 140233 190016 201892 216737 263968 280466 335497 403784 433474 527936 560932 670994 807568 866948 1121864 1341988 1615136 1733896 2243728 2683976 3230272 3467792 3684529 4487456 5367952 5703449 6935584 7369058 8974912 10735904 11406898 13871168 14738116 21471808 22813796 24491281 29476232 45627592 48982562 58952464 91255184 97965124 117904928 182510368 195930248 235809856 365020736 391860496 416351777 783720992 832703554 1567441984 1665407108 3330814216 6661628432 13323256864 26646513728