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2006520656 = 247374431093
BaseRepresentation
bin111011110011001…
…0001001101010000
312011211121210212212
41313212101031100
513102132130111
6531034411252
7100503100310
oct16746211520
95154553785
102006520656
1193a6a0738
1247bb90b28
1325c91b33a
141506b5440
15bb24e98b
hex77991350

2006520656 has 80 divisors (see below), whose sum is σ = 4577576064. Its totient is φ = 834043392.

The previous prime is 2006520629. The next prime is 2006520661. The reversal of 2006520656 is 6560256002.

It is a super-2 number, since 2×20065206562 = 8052250285909340672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1835246 + ... + 1836338.

Almost surely, 22006520656 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 2006520656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288788032).

2006520656 is an abundant number, since it is smaller than the sum of its proper divisors (2571055408).

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

2006520656 is a wasteful number, since it uses less digits than its factorization.

2006520656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2006520656 is about 44794.2033749904. The cubic root of 2006520656 is about 1261.2888164731.

Adding to 2006520656 its reverse (6560256002), we get a palindrome (8566776658).

The spelling of 2006520656 in words is "two billion, six million, five hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 443 518 592 886 1036 1093 1772 2072 2186 3101 3544 4144 4372 6202 7088 7651 8744 12404 15302 16391 17488 24808 30604 32782 40441 49616 61208 65564 80882 114737 122416 131128 161764 229474 262256 283087 323528 458948 484199 566174 647056 917896 968398 1132348 1835792 1936796 2264696 3389393 3873592 4529392 6778786 7747184 13557572 17915363 27115144 35830726 54230288 71661452 125407541 143322904 250815082 286645808 501630164 1003260328 2006520656