Search a number
-
+
2008606656 = 263710913711
BaseRepresentation
bin111011110111000…
…1110011111000000
312011222112210100010
41313232032133000
513103200403111
6531151224520
7100526606040
oct16756163700
95158483303
102008606656
11940895a01
12480818140
1326019b964
14150a99720
15bb512aa6
hex77b8e7c0

2008606656 has 112 divisors (see below), whose sum is σ = 6129812480. Its totient is φ = 568581120.

The previous prime is 2008606643. The next prime is 2008606657. The reversal of 2008606656 is 6566068002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008606657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139641 + ... + 153351.

Almost surely, 22008606656 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 2008606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064906240).

2008606656 is an abundant number, since it is smaller than the sum of its proper divisors (4121205824).

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

2008606656 is a wasteful number, since it uses less digits than its factorization.

2008606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13842 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2008606656 is about 44817.4815892192. The cubic root of 2008606656 is about 1261.7257481396.

The spelling of 2008606656 in words is "two billion, eight million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 168 192 218 224 327 336 436 448 654 672 763 872 1308 1344 1526 1744 2289 2616 3052 3488 4578 5232 6104 6976 9156 10464 12208 13711 18312 20928 24416 27422 36624 41133 48832 54844 73248 82266 95977 109688 146496 164532 191954 219376 287931 329064 383908 438752 575862 658128 767816 877504 1151724 1316256 1494499 1535632 2303448 2632512 2988998 3071264 4483497 4606896 5977996 6142528 8966994 9213792 10461493 11955992 17933988 18427584 20922986 23911984 31384479 35867976 41845972 47823968 62768958 71735952 83691944 95647936 125537916 143471904 167383888 251075832 286943808 334767776 502151664 669535552 1004303328 2008606656