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12997632384 = 2733113141269
BaseRepresentation
bin11000001101011100…
…00010000110000000
31020112211100010201000
430012232002012000
5203104343214014
65545424212000
7640044023652
oct140656020600
936484303630
1012997632384
11556a908650
122628a6a000
1312c1a53149
148b43106d2
15511135509
hex306b82180

12997632384 has 512 divisors, whose sum is σ = 44416512000. Its totient is φ = 3704832000.

The previous prime is 12997632383. The next prime is 12997632443. The reversal of 12997632384 is 48323679921.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12997632384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12997632383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48318202 + ... + 48318470.

It is an arithmetic number, because the mean of its divisors is an integer number (86751000).

Almost surely, 212997632384 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 12997632384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256000).

12997632384 is an abundant number, since it is smaller than the sum of its proper divisors (31418879616).

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

12997632384 is a wasteful number, since it uses less digits than its factorization.

12997632384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 12997632384 in words is "twelve billion, nine hundred ninety-seven million, six hundred thirty-two thousand, three hundred eighty-four".