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8434660541616 = 24321729604319661
BaseRepresentation
bin111101010111101100011…
…1100100000010010110000
31002212100022222212201102200
41322233120330200102300
52101143141044312431
625534455103543200
71530245515443051
oct172573074402260
932770288781380
108434660541616
112762134a91551
12b4283a8bab00
1349250102120a
1421234dc26728
15e96116d8ee6
hex7abd8f204b0

8434660541616 has 240 divisors, whose sum is σ = 25861335795360. Its totient is φ = 2554368122880.

The previous prime is 8434660541581. The next prime is 8434660541623. The reversal of 8434660541616 is 6161450664348.

8434660541616 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 6 + 605 + 4 + 16 + 16 = 666.

It is a super-2 number, since 2×84346605416162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428994826 + ... + 429014486.

It is an arithmetic number, because the mean of its divisors is an integer number (107755565814).

Almost surely, 28434660541616 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 8434660541616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930667897680).

8434660541616 is an abundant number, since it is smaller than the sum of its proper divisors (17426675253744).

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

8434660541616 is a wasteful number, since it uses less digits than its factorization.

8434660541616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25764 (or 25755 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 8434660541616 in words is "eight trillion, four hundred thirty-four billion, six hundred sixty million, five hundred forty-one thousand, six hundred sixteen".