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2081509056 = 263311109507
BaseRepresentation
bin111110000010001…
…0100111011000000
312101001201121122000
41330010110323000
513230331242211
6542313544000
7102403351344
oct17404247300
95331647560
102081509056
11978a59620
124a1115000
13272315583
1415a635624
15c2b13656
hex7c114ec0

2081509056 has 112 divisors (see below), whose sum is σ = 6675607680. Its totient is φ = 630754560.

The previous prime is 2081509013. The next prime is 2081509061. The reversal of 2081509056 is 6509051802.

It is a happy number.

2081509056 is a `hidden beast` number, since 20 + 81 + 509 + 0 + 56 = 666.

It is a super-2 number, since 2×20815090562 = 8665359900420022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2081509056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35746 + ... + 73761.

It is an arithmetic number, because the mean of its divisors is an integer number (59603640).

Almost surely, 22081509056 is an apocalyptic number.

It is an amenable number.

2081509056 is an abundant number, since it is smaller than the sum of its proper divisors (4594098624).

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

2081509056 is a wasteful number, since it uses less digits than its factorization.

2081509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109539 (or 109523 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2081509056 is about 45623.5581251616. The cubic root of 2081509056 is about 1276.8094888774.

The spelling of 2081509056 in words is "two billion, eighty-one million, five hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 109507 219014 328521 438028 657042 876056 985563 1204577 1314084 1752112 1971126 2409154 2628168 2956689 3504224 3613731 3942252 4818308 5256336 5913378 7008448 7227462 7884504 9636616 10512672 10841193 11826756 14454924 15769008 19273232 21025344 21682386 23653512 28909848 31538016 32523579 38546464 43364772 47307024 57819696 63076032 65047158 77092928 86729544 94614048 115639392 130094316 173459088 189228096 231278784 260188632 346918176 520377264 693836352 1040754528 2081509056