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10266364164 = 22372191815077
BaseRepresentation
bin10011000111110110…
…00100100100000100
3222111110222100001210
421203323010210010
5132011142123124
64414415451420
7512260440600
oct114373044404
928443870053
1010266364164
114399105391
121ba6226b70
13c77c3c3c4
146d569c500
15401475a29
hex263ec4904

10266364164 has 144 divisors (see below), whose sum is σ = 29500336320. Its totient is φ = 2762968320.

The previous prime is 10266364159. The next prime is 10266364189. The reversal of 10266364164 is 46146366201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2019594 + ... + 2024670.

Almost surely, 210266364164 is an apocalyptic number.

10266364164 is a gapful number since it is divisible by the number (14) 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 10266364164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750168160).

10266364164 is an abundant number, since it is smaller than the sum of its proper divisors (19233972156).

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

10266364164 is a wasteful number, since it uses less digits than its factorization.

10266364164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 10266364164 in words is "ten billion, two hundred sixty-six million, three hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 181 196 228 266 294 362 399 532 543 588 724 798 931 1086 1267 1596 1862 2172 2534 2793 3439 3724 3801 5068 5077 5586 6878 7602 8869 10154 10317 11172 13756 15204 15231 17738 20308 20634 24073 26607 30462 35476 35539 41268 48146 53214 60924 71078 72219 96292 96463 106428 106617 142156 144438 168511 192926 213234 248773 288876 289389 337022 385852 426468 497546 505533 578778 674044 675241 746319 918937 995092 1011066 1157556 1350482 1492638 1837874 2022132 2025723 2700964 2756811 2985276 3675748 4051446 4726687 5513622 6432559 8102892 9453374 11027244 12865118 14180061 17459803 18906748 19297677 25730236 28360122 34919606 38595354 45027913 52379409 56720244 69839212 77190708 90055826 104758818 122218621 135083739 180111652 209517636 244437242 270167478 366655863 488874484 540334956 733311726 855530347 1466623452 1711060694 2566591041 3422121388 5133182082 10266364164