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9142471368 = 233215125569
BaseRepresentation
bin10001000001110111…
…10000101011001000
3212121011011122222200
420200323300223020
5122210433040433
64111110520200
7442362503322
oct104073605310
925534148880
109142471368
113971761068
121931966060
13b29144494
1462a300612
15387970613
hex220ef0ac8

9142471368 has 72 divisors (see below), whose sum is σ = 24930400950. Its totient is φ = 3026764800.

The previous prime is 9142471339. The next prime is 9142471369. The reversal of 9142471368 is 8631742419.

9142471368 is a `hidden beast` number, since 9 + 142 + 471 + 36 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8708249124 + 434222244 = 93318^2 + 20838^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9142471369) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1638888 + ... + 1644456.

Almost surely, 29142471368 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 9142471368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465200475).

9142471368 is an abundant number, since it is smaller than the sum of its proper divisors (15787929582).

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

9142471368 is a wasteful number, since it uses less digits than its factorization.

9142471368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5725 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 9142471368 is about 95616.2714604580. The cubic root of 9142471368 is about 2091.0024241323.

The spelling of 9142471368 in words is "nine billion, one hundred forty-two million, four hundred seventy-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 5569 10872 11138 16707 22276 22801 33414 44552 45602 50121 66828 68403 91204 100242 133656 136806 182408 200484 205209 273612 400968 410418 547224 820836 840919 1641672 1681838 2522757 3363676 5045514 6727352 7568271 10091028 15136542 20182056 30273084 60546168 126978769 253957538 380936307 507915076 761872614 1015830152 1142808921 1523745228 2285617842 3047490456 4571235684 9142471368