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8060229342 = 23211234341161
BaseRepresentation
bin1111000000110110…
…10101011011011110
3202210201202002000200
413200123111123132
5113001404314332
63411450404330
7403511550624
oct74033253336
922721662020
108060229342
113466875670
12168b4306a6
139b5b70599
145666a5514
1532294617c
hex1e06d56de

8060229342 has 96 divisors (see below), whose sum is σ = 20342589696. Its totient is φ = 2281910400.

The previous prime is 8060229311. The next prime is 8060229349. The reversal of 8060229342 is 2439220608.

8060229342 is a `hidden beast` number, since 8 + 0 + 602 + 2 + 9 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8060229297 and 8060229306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8060229349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175242 + ... + 216402.

It is an arithmetic number, because the mean of its divisors is an integer number (211901976).

Almost surely, 28060229342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8060229342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171294848).

8060229342 is an abundant number, since it is smaller than the sum of its proper divisors (12282360354).

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

8060229342 is a wasteful number, since it uses less digits than its factorization.

8060229342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41246 (or 41243 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8060229342 is about 89778.7800206708. The cubic root of 8060229342 is about 2005.0065685114.

The spelling of 8060229342 in words is "eight billion, sixty million, two hundred twenty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 43 46 66 69 86 99 129 138 198 207 253 258 387 414 473 506 759 774 946 989 1419 1518 1978 2277 2838 2967 4257 4554 5934 8514 8901 10879 17802 21758 32637 41161 65274 82322 97911 123483 195822 246966 370449 452771 740898 905542 946703 1358313 1769923 1893406 2716626 2840109 3539846 4074939 5309769 5680218 8149878 8520327 10413733 10619538 15929307 17040654 19469153 20827466 31241199 31858614 38938306 40708229 58407459 62482398 81416458 93723597 116814918 122124687 175222377 187447194 244249374 350444754 366374061 447790519 732748122 895581038 1343371557 2686743114 4030114671 8060229342