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9012497816 = 2373115134381
BaseRepresentation
bin10000110010010111…
…11100110110011000
3212021002121022210102
420121023330312120
5121424144412231
64050145034532
7436223652560
oct103113746630
925232538712
109012497816
113905358003
1218b6325a48
13b08237a5a
14616d49da0
1537b349acb
hex2192fcd98

9012497816 has 64 divisors (see below), whose sum is σ = 20068085760. Its totient is φ = 3713040000.

The previous prime is 9012497803. The next prime is 9012497821. The reversal of 9012497816 is 6187942109.

9012497816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244946 + ... + 279326.

It is an arithmetic number, because the mean of its divisors is an integer number (313563840).

Almost surely, 29012497816 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 9012497816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034042880).

9012497816 is an abundant number, since it is smaller than the sum of its proper divisors (11055587944).

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

9012497816 is a wasteful number, since it uses less digits than its factorization.

9012497816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34576 (or 34572 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 9012497816 is about 94934.1762275315. The cubic root of 9012497816 is about 2081.0462112313.

The spelling of 9012497816 in words is "nine billion, twelve million, four hundred ninety-seven thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 151 217 248 302 434 604 868 1057 1208 1736 2114 4228 4681 8456 9362 18724 32767 34381 37448 65534 68762 131068 137524 240667 262136 275048 481334 962668 1065811 1925336 2131622 4263244 5191531 7460677 8526488 10383062 14921354 20766124 29842708 36340717 41532248 59685416 72681434 145362868 160937461 290725736 321874922 643749844 1126562227 1287499688 2253124454 4506248908 9012497816