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12450563040 = 253529979221
BaseRepresentation
bin10111001100001110…
…01000001111100000
31012010200221010122110
423212013020033200
5200444321004130
65415242435320
7620352016416
oct134607101740
935120833573
1012450563040
11530a022323
1224b5802b40
1312355ca886
148617c52b6
154cd0c0ab0
hex2e61c83e0

12450563040 has 192 divisors, whose sum is σ = 40994372160. Its totient is φ = 3172270080.

The previous prime is 12450563039. The next prime is 12450563057. The reversal of 12450563040 is 4036505421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12450562989 and 12450563007.

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, 1345630 + ... + 1354850.

It is an arithmetic number, because the mean of its divisors is an integer number (213512355).

Almost surely, 212450563040 is an apocalyptic number.

12450563040 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 12450563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20497186080).

12450563040 is an abundant number, since it is smaller than the sum of its proper divisors (28543809120).

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

12450563040 is a wasteful number, since it uses less digits than its factorization.

12450563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9365 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 12450563040 in words is "twelve billion, four hundred fifty million, five hundred sixty-three thousand, forty".