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2016044856 = 233371970177
BaseRepresentation
bin111100000101010…
…0110011100111000
312012111112200122000
41320022212130320
513112101413411
6532014501000
7100650045540
oct17012463470
95174480560
102016044856
11945006381
12483204760
132618a4467
14151a74320
15bbed1956
hex782a6738

2016044856 has 128 divisors (see below), whose sum is σ = 6737088000. Its totient is φ = 545688576.

The previous prime is 2016044831. The next prime is 2016044861. The reversal of 2016044856 is 6584406102.

2016044856 is a `hidden beast` number, since 2 + 0 + 1 + 604 + 48 + 5 + 6 = 666.

It is a super-2 number, since 2×20160448562 = 8128873722808121472, 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 2016044856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6361 + ... + 63816.

It is an arithmetic number, because the mean of its divisors is an integer number (52633500).

Almost surely, 22016044856 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 2016044856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368544000).

2016044856 is an abundant number, since it is smaller than the sum of its proper divisors (4721043144).

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

2016044856 is a wasteful number, since it uses less digits than its factorization.

2016044856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70218 (or 70208 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2016044856 is about 44900.3881497699. The cubic root of 2016044856 is about 1263.2812887285.

The spelling of 2016044856 in words is "two billion, sixteen million, forty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 70177 140354 210531 280708 421062 491239 561416 631593 842124 982478 1263186 1333363 1473717 1684248 1894779 1964956 2526372 2666726 2947434 3789558 3929912 4000089 4421151 5052744 5333452 5894868 7579116 8000178 8842302 9333541 10666904 11789736 12000267 13263453 15158232 16000356 17684604 18667082 24000534 26526906 28000623 32000712 35369208 36000801 37334164 48001068 53053812 56001246 72001602 74668328 84001869 96002136 106107624 112002492 144003204 168003738 224004984 252005607 288006408 336007476 504011214 672014952 1008022428 2016044856