Search a number
-
+
12251033418 = 23132109199557
BaseRepresentation
bin10110110100011011…
…11110111101001010
31011121210110222110110
423122031332331022
5200042231032133
65343354055150
7612410031411
oct133215767512
934553428413
1012251033418
115217430808
12245aa1a4b6
131203179700
148430c6478
154ba80ac63
hex2da37ef4a

12251033418 has 96 divisors (see below), whose sum is σ = 26958096000. Its totient is φ = 3709525248.

The previous prime is 12251033411. The next prime is 12251033423. The reversal of 12251033418 is 81433015221.

It is not an unprimeable number, because it can be changed into a prime (12251033411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21994396 + ... + 21994952.

It is an arithmetic number, because the mean of its divisors is an integer number (280813500).

Almost surely, 212251033418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251033418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479048000).

12251033418 is an abundant number, since it is smaller than the sum of its proper divisors (14707062582).

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

12251033418 is a wasteful number, since it uses less digits than its factorization.

12251033418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 12251033418 its reverse (81433015221), we get a palindrome (93684048639).

The spelling of 12251033418 in words is "twelve billion, two hundred fifty-one million, thirty-three thousand, four hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 109 169 199 218 327 338 398 507 557 597 654 1014 1114 1194 1417 1671 2587 2834 3342 4251 5174 7241 7761 8502 14482 15522 18421 21691 21723 33631 36842 43382 43446 55263 60713 65073 67262 94133 100893 110526 110843 121426 130146 182139 188266 201786 221686 281983 282399 332529 364278 563966 564798 665058 789269 845949 1440959 1578538 1691898 2367807 2881918 3665779 4322877 4735614 7331558 8645754 10260497 10997337 12081887 18732467 20520994 21994674 24163774 30781491 36245661 37464934 56197401 61562982 72491322 112394802 157064531 314129062 471193593 942387186 2041838903 4083677806 6125516709 12251033418