Search a number
-
+
642999268836 = 2232412273191657
BaseRepresentation
bin10010101101101011011…
…11100011010111100100
32021110200201120020100200
421112311233203113210
541013330303100321
61211220105510500
764312056414561
oct11266557432744
92243621506320
10642999268836
11228770362711
12a474b1a2430
13488331c9552
142319ad07868
1511ad4d01d26
hex95b5be35e4

642999268836 has 72 divisors (see below), whose sum is σ = 1665743376024. Its totient is φ = 209012367360.

The previous prime is 642999268799. The next prime is 642999268913. The reversal of 642999268836 is 638862999246.

642999268836 is a `hidden beast` number, since 6 + 429 + 9 + 92 + 6 + 88 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134923982400 + 508075286436 = 367320^2 + 712794^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3259120 + ... + 3450776.

It is an arithmetic number, because the mean of its divisors is an integer number (23135324667).

Almost surely, 2642999268836 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 642999268836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832871688012).

642999268836 is an abundant number, since it is smaller than the sum of its proper divisors (1022744107188).

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

642999268836 is a wasteful number, since it uses less digits than its factorization.

642999268836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193981 (or 193976 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 642999268836 in words is "six hundred forty-two billion, nine hundred ninety-nine million, two hundred sixty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2273 4546 6819 9092 13638 20457 27276 40914 81828 93193 186386 191657 279579 372772 383314 559158 574971 766628 838737 1118316 1149942 1677474 1724913 2299884 3354948 3449826 6899652 7857937 15715874 23573811 31431748 47147622 70721433 94295244 141442866 282885732 435636361 871272722 1306909083 1742545444 2613818166 3920727249 5227636332 7841454498 15682908996 17861090801 35722181602 53583272403 71444363204 107166544806 160749817209 214333089612 321499634418 642999268836