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9035297206656 = 273727134919379
BaseRepresentation
bin1000001101111011000110…
…1011100011000110000000
31011222202200101201201011120
42003132301223203012000
52141013242041103111
631114431440112240
71621531042035300
oct203366153430600
934882611651146
109035297206656
1129739367a59a6
12101b126905680
13507042843ba6
1423344c879600
1510a0673b8406
hex837b1ae3180

9035297206656 has 384 divisors, whose sum is σ = 28394180640000. Its totient is φ = 2537730478080.

The previous prime is 9035297206627. The next prime is 9035297206657. The reversal of 9035297206656 is 6566027925309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×90352972066562 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9035297206656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9035297206657) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 466231975 + ... + 466251353.

It is an arithmetic number, because the mean of its divisors is an integer number (73943178750).

Almost surely, 29035297206656 is an apocalyptic number.

9035297206656 is a gapful number since it is divisible by the number (96) 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 9035297206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14197090320000).

9035297206656 is an abundant number, since it is smaller than the sum of its proper divisors (19358883433344).

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

9035297206656 is a wasteful number, since it uses less digits than its factorization.

9035297206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19830 (or 19811 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 60.

The spelling of 9035297206656 in words is "nine trillion, thirty-five billion, two hundred ninety-seven million, two hundred six thousand, six hundred fifty-six".