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2729730096 = 2432294391489
BaseRepresentation
bin1010001010110100…
…0110000000110000
321001020110122201200
42202231012000300
521042302330341
61130511331200
7124434215532
oct24255060060
97036418650
102729730096
111180952695
12642220b00
133466c5912
141bc771852
1510e9a8db6
hexa2b46030

2729730096 has 120 divisors (see below), whose sum is σ = 7926204000. Its totient is φ = 875943936.

The previous prime is 2729730077. The next prime is 2729730097. The reversal of 2729730096 is 6900379272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2729730097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1832520 + ... + 1834008.

It is an arithmetic number, because the mean of its divisors is an integer number (66051700).

Almost surely, 22729730096 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 2729730096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963102000).

2729730096 is an abundant number, since it is smaller than the sum of its proper divisors (5196473904).

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

2729730096 is a wasteful number, since it uses less digits than its factorization.

2729730096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 2729730096 is about 52246.8190036484. The cubic root of 2729730096 is about 1397.5689265087.

The spelling of 2729730096 in words is "two billion, seven hundred twenty-nine million, seven hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 439 464 522 696 878 1044 1317 1392 1489 1756 2088 2634 2978 3512 3951 4176 4467 5268 5956 7024 7902 8934 10536 11912 12731 13401 15804 17868 21072 23824 25462 26802 31608 35736 38193 43181 50924 53604 63216 71472 76386 86362 101848 107208 114579 129543 152772 172724 203696 214416 229158 259086 305544 345448 388629 458316 518172 611088 653671 690896 777258 916632 1036344 1307342 1554516 1833264 1961013 2072688 2614684 3109032 3922026 5229368 5883039 6218064 7844052 10458736 11766078 15688104 18956459 23532156 31376208 37912918 47064312 56869377 75825836 94128624 113738754 151651672 170608131 227477508 303303344 341216262 454955016 682432524 909910032 1364865048 2729730096