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9402003072 = 273471111777
BaseRepresentation
bin10001100000110011…
…10010111010000000
3220021020112020120000
420300121302322000
5123223403044242
64152541320000
7451663464450
oct106031627200
926236466500
109402003072
113a95205080
1219a4866000
13b6ab43537
1465297bd60
153a0638a4c
hex230672e80

9402003072 has 320 divisors, whose sum is σ = 34887378240. Its totient is φ = 2441871360.

The previous prime is 9402003059. The next prime is 9402003097. The reversal of 9402003072 is 2703002049.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 792448 + ... + 804224.

It is an arithmetic number, because the mean of its divisors is an integer number (109023057).

Almost surely, 29402003072 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 9402003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443689120).

9402003072 is an abundant number, since it is smaller than the sum of its proper divisors (25485375168).

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

9402003072 is a wasteful number, since it uses less digits than its factorization.

9402003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11821 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 9402003072 is about 96963.9266531631. The cubic root of 9402003072 is about 2110.6041913577.

The spelling of 9402003072 in words is "nine billion, four hundred two million, three thousand, seventy-two".