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9969433668480 = 27351113236723563
BaseRepresentation
bin1001000100010011000010…
…0011010110101110000000
31022022001211222021201122210
42101010300203112232000
52301314400004342410
633111521122302120
72046160600664166
oct221046043265600
938261758251583
109969433668480
1131a4016448810
1211501871b7940
13574162655520
142667477c3236
151244db74c220
hex911308d6b80

9969433668480 has 1024 divisors, whose sum is σ = 39539381575680. Its totient is φ = 2101986754560.

The previous prime is 9969433668479. The next prime is 9969433668497. The reversal of 9969433668480 is 848663349699.

It is a Cunningham number, because it is equal to 31574412-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 423085179 + ... + 423108741.

It is an arithmetic number, because the mean of its divisors is an integer number (38612677320).

Almost surely, 29969433668480 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 9969433668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19769690787840).

9969433668480 is an abundant number, since it is smaller than the sum of its proper divisors (29569947907200).

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

9969433668480 is a wasteful number, since it uses less digits than its factorization.

9969433668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23699 (or 23687 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 75.

The spelling of 9969433668480 in words is "nine trillion, nine hundred sixty-nine billion, four hundred thirty-three million, six hundred sixty-eight thousand, four hundred eighty".