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9015483690 = 23251715139023
BaseRepresentation
bin10000110010101110…
…10101110100101010
3212021022020000122100
420121113111310222
5121430430434230
64050333034230
7436261230003
oct103127256452
925238200570
109015483690
113907007374
1218b7325976
13b08a41b45
146174c61aa
1537b739660
hex2195d5d2a

9015483690 has 96 divisors (see below), whose sum is σ = 24984101376. Its totient is φ = 2247667200.

The previous prime is 9015483683. The next prime is 9015483761. The reversal of 9015483690 is 963845109.

It is a happy number.

9015483690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90154836902 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 211519 + ... + 250541.

It is an arithmetic number, because the mean of its divisors is an integer number (260251056).

Almost surely, 29015483690 is an apocalyptic number.

9015483690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9015483690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492050688).

9015483690 is an abundant number, since it is smaller than the sum of its proper divisors (15968617686).

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

9015483690 is a wasteful number, since it uses less digits than its factorization.

9015483690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39204 (or 39201 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9015483690 is about 94949.9009478156. The cubic root of 9015483690 is about 2081.2760053023.

The spelling of 9015483690 in words is "nine billion, fifteen million, four hundred eighty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 151 153 170 255 302 306 453 510 755 765 906 1359 1510 1530 2265 2567 2718 4530 5134 6795 7701 12835 13590 15402 23103 25670 38505 39023 46206 77010 78046 115515 117069 195115 231030 234138 351207 390230 585345 663391 702414 1170690 1326782 1756035 1990173 3316955 3512070 3980346 5892473 5970519 6633910 9950865 11784946 11941038 17677419 19901730 29462365 29852595 35354838 53032257 58924730 59705190 88387095 100172041 106064514 176774190 200344082 265161285 300516123 500860205 530322570 601032246 901548369 1001720410 1502580615 1803096738 3005161230 4507741845 9015483690