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12663552411360 = 2533537149619859
BaseRepresentation
bin1011100001000111011010…
…0010110000011011100000
31122211121211202000011022000
42320101312202300123200
53124434423404130420
642533320005044000
72444624430314454
oct270216642603340
948747752004260
1012663552411360
11404264521a714
1215063460b6600
1370b224a64716
1431acc2438664
1516e61c302690
hexb84768b06e0

12663552411360 has 768 divisors, whose sum is σ = 45953308800000. Its totient is φ = 3254561316864.

The previous prime is 12663552411353. The next prime is 12663552411383. The reversal of 12663552411360 is 6311425536621.

It is a happy number.

12663552411360 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 3 + 5 + 524 + 113 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14742202611 + ... + 14742203469.

It is an arithmetic number, because the mean of its divisors is an integer number (59835037500).

Almost surely, 212663552411360 is an apocalyptic number.

12663552411360 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 12663552411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976654400000).

12663552411360 is an abundant number, since it is smaller than the sum of its proper divisors (33289756388640).

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

12663552411360 is a wasteful number, since it uses less digits than its factorization.

12663552411360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 12663552411360 its reverse (6311425536621), we get a palindrome (18974977947981).

The spelling of 12663552411360 in words is "twelve trillion, six hundred sixty-three billion, five hundred fifty-two million, four hundred eleven thousand, three hundred sixty".