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12493003248 = 2435111717183
BaseRepresentation
bin10111010001010010…
…00001100111110000
31012020122210022200000
423220221001213300
5201041202100443
65423400230000
7621405526665
oct135051014760
935218708600
1012493003248
115330a7a280
122507a6b300
13124133a01b
148672b1a6c
154d1ba58d3
hex2e8a419f0

12493003248 has 240 divisors, whose sum is σ = 41883319296. Its totient is φ = 3562859520.

The previous prime is 12493003207. The next prime is 12493003283. The reversal of 12493003248 is 84230039421.

12493003248 is a `hidden beast` number, since 1 + 24 + 9 + 300 + 324 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718465 + ... + 735647.

Almost surely, 212493003248 is an apocalyptic number.

12493003248 is a gapful number since it is divisible by the number (18) 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 12493003248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20941659648).

12493003248 is an abundant number, since it is smaller than the sum of its proper divisors (29390316048).

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

12493003248 is a wasteful number, since it uses less digits than its factorization.

12493003248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17234 (or 17216 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12493003248 in words is "twelve billion, four hundred ninety-three million, three thousand, two hundred forty-eight".