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12482088960 = 212351122373
BaseRepresentation
bin10111001111111110…
…11001000000000000
31012012220020211002010
423213333121000000
5201030403321320
65422330252520
7621214001625
oct134777310000
935186224063
1012482088960
1153258a5200
122504287140
13123bcb8273
14865a7034c
154d0c4bae0
hex2e7fd9000

12482088960 has 624 divisors, whose sum is σ = 46434713472. Its totient is φ = 2854748160.

The previous prime is 12482088953. The next prime is 12482089001. The reversal of 12482088960 is 6988028421.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 170987484 + ... + 170987556.

Almost surely, 212482088960 is an apocalyptic number.

12482088960 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 12482088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23217356736).

12482088960 is an abundant number, since it is smaller than the sum of its proper divisors (33952624512).

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

12482088960 is a wasteful number, since it uses less digits than its factorization.

12482088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 12482088960 in words is "twelve billion, four hundred eighty-two million, eighty-eight thousand, nine hundred sixty".