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65570116968 = 233217389137713
BaseRepresentation
bin111101000100010010…
…001001010101101000
320021020200202001202200
4331010102021111220
52033241422220333
650042243100200
74510613540526
oct750422112550
9207220661680
1065570116968
1125898692414
121085b371660
13624c7509a5
14326055d316
151a8b772c13
hexf44489568

65570116968 has 96 divisors (see below), whose sum is σ = 188516694600. Its totient is φ = 20517986304.

The previous prime is 65570116961. The next prime is 65570116987. The reversal of 65570116968 is 86961107556.

65570116968 is a `hidden beast` number, since 6 + 5 + 570 + 1 + 1 + 6 + 9 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45694192644 + 19875924324 = 213762^2 + 140982^2 .

It is not an unprimeable number, because it can be changed into a prime (65570116961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407280 + ... + 544992.

Almost surely, 265570116968 is an apocalyptic number.

65570116968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65570116968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94258347300).

65570116968 is an abundant number, since it is smaller than the sum of its proper divisors (122946577632).

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

65570116968 is a wasteful number, since it uses less digits than its factorization.

65570116968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138131 (or 138124 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 65570116968 in words is "sixty-five billion, five hundred seventy million, one hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 389 408 612 778 1167 1224 1556 2334 3112 3501 4668 6613 7002 9336 13226 14004 19839 26452 28008 39678 52904 59517 79356 119034 137713 158712 238068 275426 413139 476136 550852 826278 1101704 1239417 1652556 2341121 2478834 3305112 4682242 4957668 7023363 9364484 9915336 14046726 18728968 21070089 28093452 42140178 53570357 56186904 84280356 107140714 160711071 168560712 214281428 321422142 428562856 482133213 642844284 910696069 964266426 1285688568 1821392138 1928532852 2732088207 3642784276 3857065704 5464176414 7285568552 8196264621 10928352828 16392529242 21856705656 32785058484 65570116968