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9097600014 = 2321735384223
BaseRepresentation
bin10000111100100001…
…00101110000001110
3212111000201222001200
420132100211300032
5122112441200024
64102425050330
7441306216126
oct103620456016
925430658050
109097600014
1139493a35a8
12191a9269a6
13b1ca63599
1462437dc86
15383a5a2c9
hex21e425c0e

9097600014 has 48 divisors (see below), whose sum is σ = 20930337792. Its totient is φ = 2846029824.

The previous prime is 9097600013. The next prime is 9097600079. The reversal of 9097600014 is 4100067909.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9097600013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65907 + ... + 150129.

It is an arithmetic number, because the mean of its divisors is an integer number (436048704).

Almost surely, 29097600014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9097600014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465168896).

9097600014 is an abundant number, since it is smaller than the sum of its proper divisors (11832737778).

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

9097600014 is a wasteful number, since it uses less digits than its factorization.

9097600014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84601 (or 84598 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9097600014 is about 95381.3399675219. The cubic root of 9097600014 is about 2087.5759243018.

The spelling of 9097600014 in words is "nine billion, ninety-seven million, six hundred thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 353 706 1059 2118 3177 6001 6354 12002 18003 36006 54009 84223 108018 168446 252669 505338 758007 1431791 1516014 2863582 4295373 8590746 12886119 25772238 29730719 59461438 89192157 178384314 267576471 505422223 535152942 1010844446 1516266669 3032533338 4548800007 9097600014