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9097000050 = 2352174187011
BaseRepresentation
bin10000111100011100…
…10011010001110010
3212110222121111001210
420132032103101302
5122112313000200
64102404140550
7441301140015
oct103616232162
925428544053
109097000050
113949023866
12191a697756
13b1c8b3488
1462426537c
1538398c650
hex21e393472

9097000050 has 96 divisors (see below), whose sum is σ = 24470558784. Its totient is φ = 2227456000.

The previous prime is 9097000013. The next prime is 9097000069. The reversal of 9097000050 is 500007909.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9096999981 and 9097000017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61045 + ... + 148055.

It is an arithmetic number, because the mean of its divisors is an integer number (254901654).

Almost surely, 29097000050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9097000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235279392).

9097000050 is an abundant number, since it is smaller than the sum of its proper divisors (15373558734).

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

9097000050 is a wasteful number, since it uses less digits than its factorization.

9097000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87084 (or 87079 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 9097000050 is about 95378.1948350880. The cubic root of 9097000050 is about 2087.5300331534.

Adding to 9097000050 its reverse (500007909), we get a palindrome (9597007959).

The spelling of 9097000050 in words is "nine billion, ninety-seven million, fifty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 10 15 17 25 30 34 41 50 51 75 82 85 102 123 150 170 205 246 255 410 425 510 615 697 850 1025 1230 1275 1394 2050 2091 2550 3075 3485 4182 6150 6970 10455 17425 20910 34850 52275 87011 104550 174022 261033 435055 522066 870110 1305165 1479187 2175275 2610330 2958374 3567451 4350550 4437561 6525825 7134902 7395935 8875122 10702353 13051650 14791870 17837255 21404706 22187805 35674510 36979675 44375610 53511765 60646667 73959350 89186275 107023530 110939025 121293334 178372550 181940001 221878050 267558825 303233335 363880002 535117650 606466670 909700005 1516166675 1819400010 3032333350 4548500025 9097000050