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12014790480 = 24335711294753
BaseRepresentation
bin10110011000010001…
…10010011101010000
31011000022221121002000
423030020302131100
5144101241243410
65304114354000
7603511014450
oct131410623520
934008847060
1012014790480
115106043a10
1223b388b900
1311962429a4
1481d98bd60
154a4be2dc0
hex2cc232750

12014790480 has 1280 divisors, whose sum is σ = 55539302400. Its totient is φ = 2314690560.

The previous prime is 12014790449. The next prime is 12014790481. The reversal of 12014790480 is 8409741021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014790481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 226694134 + ... + 226694186.

It is an arithmetic number, because the mean of its divisors is an integer number (43390080).

Almost surely, 212014790480 is an apocalyptic number.

12014790480 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 12014790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27769651200).

12014790480 is an abundant number, since it is smaller than the sum of its proper divisors (43524511920).

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

12014790480 is a wasteful number, since it uses less digits than its factorization.

12014790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12014790480 in words is "twelve billion, fourteen million, seven hundred ninety thousand, four hundred eighty".