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26284081344 = 2631715835087
BaseRepresentation
bin11000011110101001…
…110100000011000000
32111211210010200021020
4120132221310003000
5412312211100334
620024051025440
71620226001523
oct303651640300
974753120236
1026284081344
1110168751384
12511659b280
13262b589971
1413b4b22bba
15a3c7bae49
hex61ea740c0

26284081344 has 112 divisors (see below), whose sum is σ = 73695080448. Its totient is φ = 8239157248.

The previous prime is 26284081283. The next prime is 26284081363. The reversal of 26284081344 is 44318048262.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 26284081296 and 26284081305.

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, 5164369 + ... + 5169455.

Almost surely, 226284081344 is an apocalyptic number.

26284081344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26284081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36847540224).

26284081344 is an abundant number, since it is smaller than the sum of its proper divisors (47410999104).

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

26284081344 is a wasteful number, since it uses less digits than its factorization.

26284081344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 26284081344 in words is "twenty-six billion, two hundred eighty-four million, eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1583 1632 3166 3264 4749 5087 6332 9498 10174 12664 15261 18996 20348 25328 26911 30522 37992 40696 50656 53822 61044 75984 80733 81392 86479 101312 107644 122088 151968 161466 162784 172958 215288 244176 259437 303936 322932 325568 345916 430576 488352 518874 645864 691832 861152 976704 1037748 1291728 1383664 1722304 2075496 2583456 2767328 4150992 5166912 5534656 8052721 8301984 16105442 16603968 24158163 32210884 48316326 64421768 96632652 128843536 136896257 193265304 257687072 273792514 386530608 410688771 515374144 547585028 773061216 821377542 1095170056 1546122432 1642755084 2190340112 3285510168 4380680224 6571020336 8761360448 13142040672 26284081344