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9807138908 = 2272178933071
BaseRepresentation
bin10010010001000110…
…10001000001011100
3221022110212021102222
421020203101001130
5130041111421113
64301053004512
7465013206500
oct111043210134
927273767388
109807138908
114182968686
121a98483738
13c03a62698
146906bc300
153c5eb3e08
hex2488d105c

9807138908 has 72 divisors (see below), whose sum is σ = 21377079360. Its totient is φ = 3911255040.

The previous prime is 9807138899. The next prime is 9807138941. The reversal of 9807138908 is 8098317089.

It is a self number, because there is not a number n which added to its sum of digits gives 9807138908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280013 + ... + 313083.

It is an arithmetic number, because the mean of its divisors is an integer number (296903880).

Almost surely, 29807138908 is an apocalyptic number.

9807138908 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9807138908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10688539680).

9807138908 is an abundant number, since it is smaller than the sum of its proper divisors (11569940452).

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

9807138908 is a wasteful number, since it uses less digits than its factorization.

9807138908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33195 (or 33186 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The square root of 9807138908 is about 99030.9997324070. Note that the first 3 decimals coincide. The cubic root of 9807138908 is about 2140.4944637250.

Adding to 9807138908 its sum of digits (53), we get a square (9807138961 = 990312).

The spelling of 9807138908 in words is "nine billion, eight hundred seven million, one hundred thirty-eight thousand, nine hundred eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 89 98 119 178 196 238 356 476 623 833 1246 1513 1666 2492 3026 3332 4361 6052 8722 10591 17444 21182 33071 42364 66142 74137 132284 148274 231497 296548 462994 562207 925988 1124414 1620479 2248828 2943319 3240958 3935449 5886638 6481916 7870898 11773276 15741796 20603233 27548143 41206466 50036423 55096286 82412932 100072846 110192572 144222631 200145692 288445262 350254961 576890524 700509922 1401019844 2451784727 4903569454 9807138908