Search a number
-
+
47131056432 = 24323770112619
BaseRepresentation
bin101011111001001110…
…101101100100110000
311111122122101201220200
4223321032231210300
51233011022301212
633352434035200
73255644240535
oct537116554460
9144578351820
1047131056432
1118a96286309
129174118b00
1345a1583a95
1423d16c0d8c
15135ca8c6dc
hexaf93ad930

47131056432 has 120 divisors (see below), whose sum is σ = 135670401360. Its totient is φ = 15262732800.

The previous prime is 47131056421. The next prime is 47131056433. The reversal of 47131056432 is 23465013174.

47131056432 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 1 + 0 + 5 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47131056433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3728619 + ... + 3741237.

It is an arithmetic number, because the mean of its divisors is an integer number (1130586678).

Almost surely, 247131056432 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 47131056432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67835200680).

47131056432 is an abundant number, since it is smaller than the sum of its proper divisors (88539344928).

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

47131056432 is a wasteful number, since it uses less digits than its factorization.

47131056432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 47131056432 in words is "forty-seven billion, one hundred thirty-one million, fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 701 888 1332 1402 1776 2103 2664 2804 4206 5328 5608 6309 8412 11216 12618 12619 16824 25236 25238 25937 33648 37857 50472 50476 51874 75714 77811 100944 100952 103748 113571 151428 155622 201904 207496 227142 233433 302856 311244 414992 454284 466866 466903 605712 622488 908568 933732 933806 1244976 1400709 1817136 1867464 1867612 2801418 3734928 3735224 4202127 5602836 7470448 8404254 8845919 11205672 16808508 17691838 22411344 26537757 33617016 35383676 53075514 67234032 70767352 79613271 106151028 141534704 159226542 212302056 318453084 327299003 424604112 636906168 654598006 981897009 1273812336 1309196012 1963794018 2618392024 2945691027 3927588036 5236784048 5891382054 7855176072 11782764108 15710352144 23565528216 47131056432