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2081177856 = 28328310883
BaseRepresentation
bin111110000001100…
…0100000100000000
312101001002210022100
41330003010010000
513230240142411
6542302510400
7102400501632
oct17403040400
95331083270
102081177856
119788527aa
124a0b95400
1327222a8b4
1415a58aa52
15c2a9a456
hex7c0c4100

2081177856 has 108 divisors (see below), whose sum is σ = 6073402608. Its totient is φ = 685304832.

The previous prime is 2081177851. The next prime is 2081177899. The reversal of 2081177856 is 6587711802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2081177851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185791 + ... + 196673.

Almost surely, 22081177856 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 2081177856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036701304).

2081177856 is an abundant number, since it is smaller than the sum of its proper divisors (3992224752).

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

2081177856 is a wasteful number, since it uses less digits than its factorization.

2081177856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 2081177856 is about 45619.9282770151. The cubic root of 2081177856 is about 1276.7417652977.

The spelling of 2081177856 in words is "two billion, eighty-one million, one hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 576 664 747 768 996 1152 1328 1494 1992 2304 2656 2988 3984 5312 5976 7968 10624 10883 11952 15936 21248 21766 23904 31872 32649 43532 47808 63744 65298 87064 95616 97947 130596 174128 191232 195894 261192 348256 391788 522384 696512 783576 903289 1044768 1393024 1567152 1806578 2089536 2709867 2786048 3134304 3613156 4179072 5419734 6268608 7226312 8129601 8358144 10839468 12537216 14452624 16259202 21678936 25074432 28905248 32518404 43357872 57810496 65036808 86715744 115620992 130073616 173431488 231241984 260147232 346862976 520294464 693725952 1040588928 2081177856