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9816007146 = 2311253255107
BaseRepresentation
bin10010010010001010…
…00110000111101010
3221100002112211101020
421021011012013222
5130100344212041
64302011033310
7465151453431
oct111105060752
927302484336
109816007146
114187975500
121a9b43b836
13c0584906a
1469194a118
153c6b66866
hex2491461ea

9816007146 has 48 divisors (see below), whose sum is σ = 21986227872. Its totient is φ = 2918412640.

The previous prime is 9816007139. The next prime is 9816007147. The reversal of 9816007146 is 6417006189.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9816007098 and 9816007107.

It is not an unprimeable number, because it can be changed into a prime (9816007147) 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, 89076 + ... + 166031.

It is an arithmetic number, because the mean of its divisors is an integer number (458046414).

Almost surely, 29816007146 is an apocalyptic number.

9816007146 is an abundant number, since it is smaller than the sum of its proper divisors (12170220726).

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

9816007146 is a wasteful number, since it uses less digits than its factorization.

9816007146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255187 (or 255176 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 9816007146 is about 99075.7646753231. The cubic root of 9816007146 is about 2141.1394597050.

The spelling of 9816007146 in words is "nine billion, eight hundred sixteen million, seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 53 66 106 121 159 242 318 363 583 726 1166 1749 3498 6413 12826 19239 38478 255107 510214 765321 1530642 2806177 5612354 8418531 13520671 16837062 27041342 30867947 40562013 61735894 81124026 92603841 148727381 185207682 297454762 446182143 892364286 1636001191 3272002382 4908003573 9816007146