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12486534000 = 2435317219379
BaseRepresentation
bin10111010000100000…
…10110001101110000
31012020012121122112020
423220100112031300
5201033023042000
65423005431440
7621266534133
oct135020261560
935205548466
1012486534000
115328360896
12250586b580
13123cbb3575
148664aa21a
154d1328ba0
hex2e8416370

12486534000 has 480 divisors, whose sum is σ = 45133420800. Its totient is φ = 2961100800.

The previous prime is 12486533999. The next prime is 12486534023. The reversal of 12486534000 is 43568421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32945811 + ... + 32946189.

It is an arithmetic number, because the mean of its divisors is an integer number (94027960).

Almost surely, 212486534000 is an apocalyptic number.

12486534000 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 12486534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22566710400).

12486534000 is an abundant number, since it is smaller than the sum of its proper divisors (32646886800).

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

12486534000 is a wasteful number, since it uses less digits than its factorization.

12486534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 12486534000 in words is "twelve billion, four hundred eighty-six million, five hundred thirty-four thousand".