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12147965280 = 253451185213
BaseRepresentation
bin10110101000001001…
…10011110101100000
31011100121112120120000
423110010303311200
5144334334342110
65325233020000
7610016000253
oct132404636540
934317476500
1012147965280
115174234130
1224303b4600
1311b7a00549
1483353709a
154b174c1c0
hex2d4133d60

12147965280 has 240 divisors, whose sum is σ = 46770215184. Its totient is φ = 2944926720.

The previous prime is 12147965279. The next prime is 12147965287. The reversal of 12147965280 is 8256974121.

12147965280 is a `hidden beast` number, since 121 + 479 + 6 + 52 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12147965287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99954 + ... + 185166.

Almost surely, 212147965280 is an apocalyptic number.

12147965280 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 12147965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385107592).

12147965280 is an abundant number, since it is smaller than the sum of its proper divisors (34622249904).

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

12147965280 is a wasteful number, since it uses less digits than its factorization.

12147965280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85251 (or 85234 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12147965280 in words is "twelve billion, one hundred forty-seven million, nine hundred sixty-five thousand, two hundred eighty".