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2006800056 = 233353307571
BaseRepresentation
bin111011110011101…
…0101011010111000
312011212011000011000
41313213111122320
513102220100211
6531044405000
7100505343012
oct16747253270
95155130130
102006800056
1193a871648
124800a6760
1325c9b8571
141507491b2
15bb2a7656
hex779d56b8

2006800056 has 128 divisors (see below), whose sum is σ = 5708102400. Its totient is φ = 653028480.

The previous prime is 2006799989. The next prime is 2006800069. The reversal of 2006800056 is 6500086002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3514251 + ... + 3514821.

It is an arithmetic number, because the mean of its divisors is an integer number (44594550).

Almost surely, 22006800056 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 2006800056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854051200).

2006800056 is an abundant number, since it is smaller than the sum of its proper divisors (3701302344).

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

2006800056 is a wasteful number, since it uses less digits than its factorization.

2006800056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2006800056 is about 44797.3219735287. The cubic root of 2006800056 is about 1261.3473569021.

Adding to 2006800056 its reverse (6500086002), we get a palindrome (8506886058).

The spelling of 2006800056 in words is "two billion, six million, eight hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 307 318 424 477 571 614 636 921 954 1142 1228 1272 1431 1713 1842 1908 2284 2456 2763 2862 3426 3684 3816 4568 5139 5526 5724 6852 7368 8289 10278 11052 11448 13704 15417 16271 16578 20556 22104 30263 30834 32542 33156 41112 48813 60526 61668 65084 66312 90789 97626 121052 123336 130168 146439 175297 181578 195252 242104 272367 292878 350594 363156 390504 439317 525891 544734 585756 701188 726312 817101 878634 1051782 1089468 1171512 1402376 1577673 1634202 1757268 2103564 2178936 3155346 3268404 3514536 4207128 4733019 6310692 6536808 9290741 9466038 12621384 18581482 18932076 27872223 37162964 37864152 55744446 74325928 83616669 111488892 167233338 222977784 250850007 334466676 501700014 668933352 1003400028 2006800056