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863312994 = 2321989113251
BaseRepresentation
bin110011011101010…
…001110001100010
32020011110211210100
4303131101301202
53232002003434
6221355443230
730252016335
oct6335216142
92204424710
10863312994
11403354915
12201156516
13109b1cabb
148292a61c
1550bd1699
hex33751c62

863312994 has 96 divisors (see below), whose sum is σ = 2016705600. Its totient is φ = 266112000.

The previous prime is 863312969. The next prime is 863312999. The reversal of 863312994 is 499213368.

It is a happy number.

863312994 is a `hidden beast` number, since 8 + 633 + 1 + 2 + 9 + 9 + 4 = 666.

863312994 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (863312999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3439369 + ... + 3439619.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2863312994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863312994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008352800).

863312994 is an abundant number, since it is smaller than the sum of its proper divisors (1153392606).

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

863312994 is a wasteful number, since it uses less digits than its factorization.

863312994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 863312994 is about 29382.1883800373. The cubic root of 863312994 is about 952.1881211752.

The spelling of 863312994 in words is "eight hundred sixty-three million, three hundred twelve thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 89 113 114 171 178 226 251 267 339 342 502 534 678 753 801 1017 1506 1602 1691 2034 2147 2259 3382 4294 4518 4769 5073 6441 9538 10057 10146 12882 14307 15219 19323 20114 22339 28363 28614 30171 30438 38646 42921 44678 56726 60342 67017 85089 85842 90513 134034 170178 181026 191083 201051 255267 382166 402102 424441 510534 538897 573249 848882 1077794 1146498 1273323 1616691 1719747 2524307 2546646 3233382 3439494 3819969 4850073 5048614 7572921 7639938 9700146 15145842 22718763 45437526 47961833 95923666 143885499 287770998 431656497 863312994