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9144271872 = 210333147227
BaseRepresentation
bin10001000010000101…
…01000010000000000
3212121021120010211000
420201002220100000
5122211413144442
64111213252000
7442414012521
oct104102502000
925537503730
109144271872
11397278088a
121932494000
13b29624b78
1462a64c848
15387bc8d4c
hex2210a8400

9144271872 has 352 divisors, whose sum is σ = 28675031040. Its totient is φ = 2874286080.

The previous prime is 9144271849. The next prime is 9144271889. The reversal of 9144271872 is 2781724419.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40283023 + ... + 40283249.

Almost surely, 29144271872 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 9144271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337515520).

9144271872 is an abundant number, since it is smaller than the sum of its proper divisors (19530759168).

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

9144271872 is a wasteful number, since it uses less digits than its factorization.

9144271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 9144271872 is about 95625.6862563611. The cubic root of 9144271872 is about 2091.1396813704.

The spelling of 9144271872 in words is "nine billion, one hundred forty-four million, two hundred seventy-one thousand, eight hundred seventy-two".