Search a number
-
+
12748181776 = 2411711735897
BaseRepresentation
bin10111101111101100…
…11101000100010000
31012220102221201210121
423313312131010100
5202102013304101
65504553440024
7630624520501
oct136766350420
935812851717
1012748181776
11545201a720
122579410014
131282173835
1488d138ba8
154e92ae0a1
hex2f7d9d110

12748181776 has 80 divisors (see below), whose sum is σ = 27487133568. Its totient is φ = 5679027200.

The previous prime is 12748181773. The next prime is 12748181827. The reversal of 12748181776 is 67718184721.

It is a super-2 number, since 2×127481817762 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12748181773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2158860 + ... + 2164756.

Almost surely, 212748181776 is an apocalyptic number.

12748181776 is a gapful number since it is divisible by the number (16) 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 12748181776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13743566784).

12748181776 is an abundant number, since it is smaller than the sum of its proper divisors (14738951792).

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

12748181776 is a wasteful number, since it uses less digits than its factorization.

12748181776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6154 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 52.

The spelling of 12748181776 in words is "twelve billion, seven hundred forty-eight million, one hundred eighty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 173 176 284 346 568 692 781 1136 1384 1562 1903 2768 3124 3806 5897 6248 7612 11794 12283 12496 15224 23588 24566 30448 47176 49132 64867 94352 98264 129734 135113 196528 259468 270226 418687 518936 540452 837374 1020181 1037872 1080904 1674748 2040362 2161808 3349496 4080724 4605557 6698992 8161448 9211114 11221991 16322896 18422228 22443982 36844456 44887964 72432851 73688912 89775928 144865702 179551856 289731404 579462808 796761361 1158925616 1593522722 3187045444 6374090888 12748181776