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71024771466 = 232112337421517
BaseRepresentation
bin100001000100101101…
…0000000000110001010
320210022211122020001100
41002021122000012022
52130424320141331
652343415202230
75063026411365
oct1021132000612
9223284566040
1071024771466
11281376a5040
1211922076376
13690b8489bc
14361ab710dc
151caa586ae6
hex108968018a

71024771466 has 96 divisors (see below), whose sum is σ = 179910626688. Its totient is φ = 20030440320.

The previous prime is 71024771449. The next prime is 71024771527. The reversal of 71024771466 is 66417742017.

71024771466 is a `hidden beast` number, since 7 + 102 + 477 + 14 + 66 = 666.

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 a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42261 + ... + 379256.

It is an arithmetic number, because the mean of its divisors is an integer number (1874069028).

Almost surely, 271024771466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71024771466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89955313344).

71024771466 is an abundant number, since it is smaller than the sum of its proper divisors (108885855222).

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

71024771466 is a wasteful number, since it uses less digits than its factorization.

71024771466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421596 (or 421593 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 71024771466 in words is "seventy-one billion, twenty-four million, seven hundred seventy-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 37 46 66 69 74 99 111 138 198 207 222 253 333 407 414 506 666 759 814 851 1221 1518 1702 2277 2442 2553 3663 4554 5106 7326 7659 9361 15318 18722 28083 56166 84249 168498 421517 843034 1264551 2529102 3793653 4636687 7587306 9273374 9694891 13910061 15596129 19389782 27820122 29084673 31192258 41730183 46788387 58169346 83460366 87254019 93576774 106643801 140365161 171557419 174508038 213287602 280730322 319931403 343114838 358710967 514672257 639862806 717421934 959794209 1029344514 1076132901 1544016771 1919588418 2152265802 3088033542 3228398703 3945820637 6456797406 7891641274 11837461911 23674923822 35512385733 71024771466