Search a number
-
+
12396713472 = 293311136271
BaseRepresentation
bin10111000101110011…
…01101011000000000
31011222221121021221000
423202321231120000
5200342024312342
65410040332000
7616126216533
oct134271553000
934887537830
1012396713472
115291692350
12249b774000
1312273c5220
148585a8a1a
154c84d544c
hex2e2e6d600

12396713472 has 320 divisors, whose sum is σ = 43117240320. Its totient is φ = 3467059200.

The previous prime is 12396713447. The next prime is 12396713479. The reversal of 12396713472 is 27431769321.

12396713472 is a `hidden beast` number, since 1 + 23 + 96 + 71 + 3 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12396713479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973697 + ... + 1979967.

It is an arithmetic number, because the mean of its divisors is an integer number (134741376).

Almost surely, 212396713472 is an apocalyptic number.

12396713472 is a gapful number since it is divisible by the number (12) 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 12396713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21558620160).

12396713472 is an abundant number, since it is smaller than the sum of its proper divisors (30720526848).

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

12396713472 is a wasteful number, since it uses less digits than its factorization.

12396713472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6300 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 12396713472 in words is "twelve billion, three hundred ninety-six million, seven hundred thirteen thousand, four hundred seventy-two".