Search a number
-
+
83124182466472 = 23722331321266213
BaseRepresentation
bin10010111001100111011011…
…010111100011111110101000
3101220022121001012100012222011
4102321213123113203332220
541343401311202411342
6452442420001205304
723336344505663560
oct2271473327437650
9356277035305864
1083124182466472
1124538849a609a4
1293a6034630834
13374c7662265c4
141675336483da0
159923b63ec717
hex4b99db5e3fa8

83124182466472 has 64 divisors (see below), whose sum is σ = 179493651348480. Its totient is φ = 35351589791232.

The previous prime is 83124182466469. The next prime is 83124182466473. The reversal of 83124182466472 is 27466428142138.

It is a happy number.

83124182466472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (83124182466473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6724363 + ... + 14541850.

It is an arithmetic number, because the mean of its divisors is an integer number (2804588302320).

Almost surely, 283124182466472 is an apocalyptic number.

It is an amenable number.

83124182466472 is an abundant number, since it is smaller than the sum of its proper divisors (96369468882008).

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

83124182466472 is a wasteful number, since it uses less digits than its factorization.

83124182466472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21266762 (or 21266758 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 58.

The spelling of 83124182466472 in words is "eighty-three trillion, one hundred twenty-four billion, one hundred eighty-two million, four hundred sixty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 223 313 446 626 892 1252 1561 1784 2191 2504 3122 4382 6244 8764 12488 17528 69799 139598 279196 488593 558392 977186 1954372 3908744 21266213 42532426 85064852 148863491 170129704 297726982 595453964 1190907928 4742365499 6656324669 9484730998 13312649338 18969461996 26625298676 33196558493 37938923992 46594272683 53250597352 66393116986 93188545366 132786233972 186377090732 265572467944 372754181464 1484360401187 2968720802374 5937441604748 10390522808309 11874883209496 20781045616618 41562091233236 83124182466472