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26345094660 = 223252943117371
BaseRepresentation
bin11000100010010010…
…100011111000000100
32112000000221110210200
4120202102203320010
5412423321012120
620034110450500
71621566416103
oct304222437004
975000843720
1026345094660
111019a134605
125132b03a30
13263b0ccc11
1413bcc8603a
15a42d1de90
hex6224a3e04

26345094660 has 144 divisors (see below), whose sum is σ = 84592347840. Its totient is φ = 6625301760.

The previous prime is 26345094649. The next prime is 26345094691. The reversal of 26345094660 is 6649054362.

26345094660 is a `hidden beast` number, since 2 + 634 + 5 + 0 + 9 + 4 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165775 + ... + 283145.

It is an arithmetic number, because the mean of its divisors is an integer number (587446860).

Almost surely, 226345094660 is an apocalyptic number.

26345094660 is a gapful number since it is divisible by the number (20) 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 26345094660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42296173920).

26345094660 is an abundant number, since it is smaller than the sum of its proper divisors (58247253180).

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

26345094660 is a wasteful number, since it uses less digits than its factorization.

26345094660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117458 (or 117453 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 26345094660 in words is "twenty-six billion, three hundred forty-five million, ninety-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 43 45 58 60 86 87 90 116 129 145 172 174 180 215 258 261 290 348 387 430 435 516 522 580 645 774 860 870 1044 1247 1290 1305 1548 1740 1935 2494 2580 2610 3741 3870 4988 5220 6235 7482 7740 11223 12470 14964 18705 22446 24940 37410 44892 56115 74820 112230 117371 224460 234742 352113 469484 586855 704226 1056339 1173710 1408452 1760565 2112678 2347420 3403759 3521130 4225356 5046953 5281695 6807518 7042260 10093906 10211277 10563390 13615036 15140859 17018795 20187812 20422554 21126780 25234765 30281718 30633831 34037590 40845108 45422577 50469530 51056385 60563436 61267662 68075180 75704295 90845154 100939060 102112770 122535324 146361637 151408590 153169155 181690308 204225540 227112885 292723274 302817180 306338310 439084911 454225770 585446548 612676620 731808185 878169822 908451540 1317254733 1463616370 1756339644 2195424555 2634509466 2927232740 4390849110 5269018932 6586273665 8781698220 13172547330 26345094660