Search a number
-
+
12419795628 = 22326719126959
BaseRepresentation
bin10111001000100011…
…10000101010101100
31012001120000222200200
423210101300222230
5200413431430003
65412223153500
7616526343462
oct134421605254
935046028620
1012419795628
1152a3718309
1224a7445890
13122c1174c6
1485b696832
154ca5446a3
hex2e4470aac

12419795628 has 72 divisors (see below), whose sum is σ = 32031068160. Its totient is φ = 4056639840.

The previous prime is 12419795603. The next prime is 12419795653. The reversal of 12419795628 is 82659791421.

It is a happy number.

12419795628 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 9 + 7 + 9 + 5 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (12419795603) and next prime (12419795653).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447213 + ... + 474171.

Almost surely, 212419795628 is an apocalyptic number.

12419795628 is a gapful number since it is divisible by the number (18) 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 12419795628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16015534080).

12419795628 is an abundant number, since it is smaller than the sum of its proper divisors (19611272532).

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

12419795628 is a wasteful number, since it uses less digits than its factorization.

12419795628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27227 (or 27222 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 12419795628 in words is "twelve billion, four hundred nineteen million, seven hundred ninety-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 191 201 268 382 402 573 603 764 804 1146 1206 1719 2292 2412 3438 6876 12797 25594 26959 38391 51188 53918 76782 80877 107836 115173 153564 161754 230346 242631 323508 460692 485262 970524 1806253 3612506 5149169 5418759 7225012 10298338 10837518 15447507 16256277 20596676 21675036 30895014 32512554 46342521 61790028 65025108 92685042 185370084 344994323 689988646 1034982969 1379977292 2069965938 3104948907 4139931876 6209897814 12419795628