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2009888688 = 243101607683
BaseRepresentation
bin111011111001100…
…0111011110110000
312012001221220221210
41313303013132300
513104012414223
6531234520120
7100543525533
oct16763073660
95161856853
102009888688
11941591135
12481136040
1326052a362
14150d10a1a
15bb6b7893
hex77cc77b0

2009888688 has 80 divisors (see below), whose sum is σ = 5259949056. Its totient is φ = 661267200.

The previous prime is 2009888687. The next prime is 2009888707. The reversal of 2009888688 is 8868889002.

It is a super-2 number, since 2×20098886882 = 8079305076300722688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2009888681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2942395 + ... + 2943077.

Almost surely, 22009888688 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 2009888688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629974528).

2009888688 is an abundant number, since it is smaller than the sum of its proper divisors (3250060368).

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

2009888688 is a wasteful number, since it uses less digits than its factorization.

2009888688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 57.

The square root of 2009888688 is about 44831.7821193849. The cubic root of 2009888688 is about 1261.9941313249.

The spelling of 2009888688 in words is "two billion, nine million, eight hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 607 683 808 1212 1214 1366 1616 1821 2049 2424 2428 2732 3642 4098 4848 4856 5464 7284 8196 9712 10928 14568 16392 29136 32784 61307 68983 122614 137966 183921 206949 245228 275932 367842 413898 414581 490456 551864 735684 827796 829162 980912 1103728 1243743 1471368 1655592 1658324 2487486 2942736 3311184 3316648 4974972 6633296 9949944 19899888 41872681 83745362 125618043 167490724 251236086 334981448 502472172 669962896 1004944344 2009888688