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9480086196 = 22372912730643
BaseRepresentation
bin10001101010000111…
…01010001010110100
3220110200110021110120
420311003222022310
5123403400224241
64204411051540
7453632255160
oct106503521264
926420407416
109480086196
114025297089
121a06a40bb0
13b81082279
1465d0a5ca0
153a740e666
hex2350ea2b4

9480086196 has 96 divisors (see below), whose sum is σ = 26358743040. Its totient is φ = 2594519424.

The previous prime is 9480086191. The next prime is 9480086207. The reversal of 9480086196 is 6916800849.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9480086191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294051 + ... + 324693.

It is an arithmetic number, because the mean of its divisors is an integer number (274570240).

Almost surely, 29480086196 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 9480086196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179371520).

9480086196 is an abundant number, since it is smaller than the sum of its proper divisors (16878656844).

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

9480086196 is a wasteful number, since it uses less digits than its factorization.

9480086196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30813 (or 30811 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 9480086196 is about 97365.7341984335. The cubic root of 9480086196 is about 2116.4309084750.

The spelling of 9480086196 in words is "nine billion, four hundred eighty million, eighty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 127 174 203 254 348 381 406 508 609 762 812 889 1218 1524 1778 2436 2667 3556 3683 5334 7366 10668 11049 14732 22098 25781 30643 44196 51562 61286 77343 91929 103124 122572 154686 183858 214501 309372 367716 429002 643503 858004 888647 1287006 1777294 2574012 2665941 3554588 3891661 5331882 6220529 7783322 10663764 11674983 12441058 15566644 18661587 23349966 24882116 27241627 37323174 46699932 54483254 74646348 81724881 108966508 112858169 163449762 225716338 326899524 338574507 451432676 677149014 790007183 1354298028 1580014366 2370021549 3160028732 4740043098 9480086196