Search a number
-
+
12451150496 = 253123952517
BaseRepresentation
bin10111001100010010…
…10111101010100000
31012010202000222111002
423212021113222200
5200444443303441
65415303211132
7620360014211
oct134611275240
935122028432
1012451150496
11530a393724
1224b5a46aa8
131235775095
148618d9408
154cd189b9b
hex2e6257aa0

12451150496 has 48 divisors (see below), whose sum is σ = 25410309120. Its totient is φ = 5999427840.

The previous prime is 12451150447. The next prime is 12451150513. The reversal of 12451150496 is 69405115421.

It is a super-2 number, since 2×124511504962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210830 + ... + 263346.

It is an arithmetic number, because the mean of its divisors is an integer number (529381440).

Almost surely, 212451150496 is an apocalyptic number.

12451150496 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 12451150496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705154560).

12451150496 is an abundant number, since it is smaller than the sum of its proper divisors (12959158624).

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

12451150496 is a wasteful number, since it uses less digits than its factorization.

12451150496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52797 (or 52789 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 12451150496 in words is "twelve billion, four hundred fifty-one million, one hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 124 239 248 478 496 956 992 1912 3824 7409 7648 14818 29636 52517 59272 105034 118544 210068 237088 420136 840272 1628027 1680544 3256054 6512108 12551563 13024216 25103126 26048432 50206252 52096864 100412504 200825008 389098453 401650016 778196906 1556393812 3112787624 6225575248 12451150496