Search a number
-
+
1965797064 = 2332711354581
BaseRepresentation
bin111010100101011…
…1010111011001000
312001222222211121200
41311022322323020
513011221001224
6523021504200
766466666530
oct16512727310
95058884550
101965797064
11919706480
1246a412060
1325436033a
141491144c0
15b78a85c9
hex752baec8

1965797064 has 96 divisors (see below), whose sum is σ = 6637775040. Its totient is φ = 510595200.

The previous prime is 1965797063. The next prime is 1965797089. The reversal of 1965797064 is 4607975691.

1965797064 is a `hidden beast` number, since 1 + 9 + 6 + 579 + 7 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1965797064.

It is not an unprimeable number, because it can be changed into a prime (1965797063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171747 + ... + 182834.

It is an arithmetic number, because the mean of its divisors is an integer number (69143490).

Almost surely, 21965797064 is an apocalyptic number.

1965797064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1965797064 is an abundant number, since it is smaller than the sum of its proper divisors (4671977976).

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

1965797064 is a wasteful number, since it uses less digits than its factorization.

1965797064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354611 (or 354604 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 1965797064 is about 44337.3100672560. The cubic root of 1965797064 is about 1252.6975480533.

The spelling of 1965797064 in words is "one billion, nine hundred sixty-five million, seven hundred ninety-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 354581 709162 1063743 1418324 2127486 2482067 2836648 3191229 3900391 4254972 4964134 6382458 7446201 7800782 8509944 9928268 11701173 12764916 14892402 15601564 19856536 22338603 23402346 25529832 27302737 29784804 31203128 35103519 44677206 46804692 54605474 59569608 70207038 81908211 89354412 93609384 109210948 140414076 163816422 178708824 218421896 245724633 280828152 327632844 491449266 655265688 982898532 1965797064