Search a number
-
+
2096557056 = 210321120681
BaseRepresentation
bin111110011110110…
…1110110000000000
312102010001010121100
41330331232300000
513243204311211
6544012254400
7102645304146
oct17475566000
95363033540
102096557056
119864a7390
124a6171400
13275483a09
1415c631596
15c40d7156
hex7cf6ec00

2096557056 has 132 divisors (see below), whose sum is σ = 6604424424. Its totient is φ = 635289600.

The previous prime is 2096557049. The next prime is 2096557061. The reversal of 2096557056 is 6507556902.

2096557056 is a `hidden beast` number, since 2 + 0 + 96 + 557 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91036 + ... + 111716.

Almost surely, 22096557056 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 2096557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302212212).

2096557056 is an abundant number, since it is smaller than the sum of its proper divisors (4507867368).

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

2096557056 is a wasteful number, since it uses less digits than its factorization.

2096557056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20718 (or 20697 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 2096557056 is about 45788.1759409566. The cubic root of 2096557056 is about 1279.8789468854.

The spelling of 2096557056 in words is "two billion, ninety-six million, five hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 20681 25344 33792 41362 50688 62043 82724 101376 124086 165448 186129 227491 248172 330896 372258 454982 496344 661792 682473 744516 909964 992688 1323584 1364946 1489032 1819928 1985376 2047419 2647168 2729892 2978064 3639856 3970752 4094838 5294336 5459784 5956128 7279712 7941504 8189676 10588672 10919568 11912256 14559424 15883008 16379352 21177344 21839136 23824512 29118848 31766016 32758704 43678272 47649024 58237696 63532032 65517408 87356544 95298048 116475392 131034816 174713088 190596096 232950784 262069632 349426176 524139264 698852352 1048278528 2096557056