Search a number
-
+
2313263293236 = 2233731931971093
BaseRepresentation
bin100001101010011001001…
…111001010001100110100
322012010221021222222121000
4201222121033022030310
5300400030400340421
64530410512323300
7326061551364000
oct41523117121464
98163837888530
102313263293236
1181205a905655
123143ab243530
1313a1a817cb8c
147dd692d7700
154028ec9b226
hex21a993ca334

2313263293236 has 768 divisors, whose sum is σ = 7684956160000. Its totient is φ = 599152619520.

The previous prime is 2313263293219. The next prime is 2313263293247. The reversal of 2313263293236 is 6323923623132.

2313263293236 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 632 + 9 + 3 + 2 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2313263293191 and 2313263293200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2116434306 + ... + 2116435398.

Almost surely, 22313263293236 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 2313263293236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842478080000).

2313263293236 is an abundant number, since it is smaller than the sum of its proper divisors (5371692866764).

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

2313263293236 is a wasteful number, since it uses less digits than its factorization.

2313263293236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1252 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 45.

The spelling of 2313263293236 in words is "two trillion, three hundred thirteen billion, two hundred sixty-three million, two hundred ninety-three thousand, two hundred thirty-six".