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9075742848 = 2735431677
BaseRepresentation
bin10000111001111010…
…01101100010000000
3212102111121111200000
420130331031202000
5122041342232343
64100324400000
7440622353454
oct103475154200
925374544600
109075742848
113938024a27
121913546000
13b1837ca53
146214d0664
15381b8ded3
hex21cf4d880

9075742848 has 192 divisors, whose sum is σ = 27186606720. Its totient is φ = 3013770240.

The previous prime is 9075742847. The next prime is 9075742873. The reversal of 9075742848 is 8482475709.

It is a happy number.

9075742848 is a `hidden beast` number, since 9 + 0 + 7 + 574 + 28 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×90757428482 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9075742794 and 9075742803.

It is not an unprimeable number, because it can be changed into a prime (9075742847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13405486 + ... + 13406162.

It is an arithmetic number, because the mean of its divisors is an integer number (141596910).

Almost surely, 29075742848 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 9075742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13593303360).

9075742848 is an abundant number, since it is smaller than the sum of its proper divisors (18110863872).

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

9075742848 is an equidigital number, since it uses as much as digits as its factorization.

9075742848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 9075742848 is about 95266.6932773464. The cubic root of 9075742848 is about 2085.9027693518.

The spelling of 9075742848 in words is "nine billion, seventy-five million, seven hundred forty-two thousand, eight hundred forty-eight".