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8230072896 = 263218178941
BaseRepresentation
bin1111010101000110…
…01111001001000000
3210020120100000120200
413222203033021000
5113323344313041
63440355005200
7410643315423
oct75243171100
923216300520
108230072896
113543730641
121718299800
13a120c9626
145810779ba
153327e51b6
hex1ea8cf240

8230072896 has 84 divisors (see below), whose sum is σ = 23720650044. Its totient is φ = 2728166400.

The previous prime is 8230072891. The next prime is 8230072897. The reversal of 8230072896 is 6982700328.

It can be written as a sum of positive squares in 2 ways, for example, as 535274496 + 7694798400 = 23136^2 + 87720^2 .

It is not an unprimeable number, because it can be changed into a prime (8230072891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64786 + ... + 143726.

It is an arithmetic number, because the mean of its divisors is an integer number (282388691).

Almost surely, 28230072896 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 8230072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860325022).

8230072896 is an abundant number, since it is smaller than the sum of its proper divisors (15490577148).

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

8230072896 is a wasteful number, since it uses less digits than its factorization.

8230072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79140 (or 79127 counting only the distinct ones).

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

The square root of 8230072896 is about 90719.7492060025. The cubic root of 8230072896 is about 2018.9918257645.

The spelling of 8230072896 in words is "eight billion, two hundred thirty million, seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 26064 34752 52128 78941 104256 157882 236823 315764 473646 631528 710469 947292 1263056 1420938 1894584 2526112 2841876 3789168 5052224 5683752 7578336 11367504 14288321 15156672 22735008 28576642 42864963 45470016 57153284 85729926 114306568 128594889 171459852 228613136 257189778 342919704 457226272 514379556 685839408 914452544 1028759112 1371678816 2057518224 2743357632 4115036448 8230072896