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9142471296 = 27347235477
BaseRepresentation
bin10001000001110111…
…10000101010000000
3212121011011122220000
420200323300222000
5122210433040141
64111110520000
7442362503160
oct104073605200
925534148800
109142471296
113971761002
121931966000
13b2914443a
1462a3005a0
153879705b6
hex220ef0a80

9142471296 has 320 divisors, whose sum is σ = 32452548480. Its totient is φ = 2498107392.

The previous prime is 9142471253. The next prime is 9142471313. The reversal of 9142471296 is 6921742419.

9142471296 is a `hidden beast` number, since 91 + 4 + 2 + 471 + 2 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1666510 + ... + 1671986.

It is an arithmetic number, because the mean of its divisors is an integer number (101414214).

Almost surely, 29142471296 is an apocalyptic number.

9142471296 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 9142471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226274240).

9142471296 is an abundant number, since it is smaller than the sum of its proper divisors (23310077184).

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

9142471296 is a wasteful number, since it uses less digits than its factorization.

9142471296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5512 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9142471296 is about 95616.2710839531. The cubic root of 9142471296 is about 2091.0024186432.

The spelling of 9142471296 in words is "nine billion, one hundred forty-two million, four hundred seventy-one thousand, two hundred ninety-six".