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12252455424 = 2932111759241
BaseRepresentation
bin10110110100100110…
…11010001000000000
31011121220011020002100
423122103122020000
5200043112033144
65343444350400
7612425103246
oct133223321000
934556136070
1012252455424
115218212120
12245b3a5400
131203556a31
14843376796
154ba9dc269
hex2da4da200

12252455424 has 480 divisors, whose sum is σ = 41709919680. Its totient is φ = 3420979200.

The previous prime is 12252455393. The next prime is 12252455431. The reversal of 12252455424 is 42455425221.

12252455424 is a `hidden beast` number, since 1 + 22 + 52 + 45 + 542 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50839944 + ... + 50840184.

It is an arithmetic number, because the mean of its divisors is an integer number (86895666).

Almost surely, 212252455424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12252455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854959840).

12252455424 is an abundant number, since it is smaller than the sum of its proper divisors (29457464256).

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

12252455424 is a wasteful number, since it uses less digits than its factorization.

12252455424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its digits is 128000, while the sum is 36.

The spelling of 12252455424 in words is "twelve billion, two hundred fifty-two million, four hundred fifty-five thousand, four hundred twenty-four".