Search a number
-
+
12494496000 = 28353718593
BaseRepresentation
bin10111010001011101…
…01110000100000000
31012020202121011100010
423220232232010000
5201042042333000
65423452224520
7621424315020
oct135056560400
935222534303
1012494496000
1153318a9858
12250846b140
1312417405cc
1486757da80
154d1d9cd50
hex2e8bae100

12494496000 has 288 divisors, whose sum is σ = 47431657728. Its totient is φ = 2855731200.

The previous prime is 12494495987. The next prime is 12494496019. The reversal of 12494496000 is 69449421.

It is a super-2 number, since 2×124944960002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12494496000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662704 + ... + 681296.

It is an arithmetic number, because the mean of its divisors is an integer number (164693256).

Almost surely, 212494496000 is an apocalyptic number.

12494496000 is a gapful number since it is divisible by the number (10) 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 12494496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715828864).

12494496000 is an abundant number, since it is smaller than the sum of its proper divisors (34937161728).

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

12494496000 is an equidigital number, since it uses as much as digits as its factorization.

12494496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18634 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 12494496000 in words is "twelve billion, four hundred ninety-four million, four hundred ninety-six thousand".