Search a number
-
+
42705721350 = 23252911104173
BaseRepresentation
bin100111110001011101…
…011001100000000110
311002020020100102102100
4213301131121200012
51144430131040400
631341351452530
73041200433145
oct476135314006
9132206312370
1042705721350
11171252a2596
12833a087146
1340477c0206
1420d1a8d75c
15119e2ec100
hex9f1759806

42705721350 has 72 divisors (see below), whose sum is σ = 114863085792. Its totient is φ = 11375582400.

The previous prime is 42705721297. The next prime is 42705721379. The reversal of 42705721350 is 5312750724.

42705721350 is a `hidden beast` number, since 4 + 2 + 70 + 572 + 13 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 357864 + ... + 462036.

It is an arithmetic number, because the mean of its divisors is an integer number (1595320636).

Almost surely, 242705721350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42705721350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57431542896).

42705721350 is an abundant number, since it is smaller than the sum of its proper divisors (72157364442).

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

42705721350 is a wasteful number, since it uses less digits than its factorization.

42705721350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105102 (or 105094 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 42705721350 in words is "forty-two billion, seven hundred five million, seven hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 911 1822 2733 4555 5466 8199 9110 13665 16398 22775 27330 40995 45550 68325 81990 104173 136650 204975 208346 312519 409950 520865 625038 937557 1041730 1562595 1875114 2604325 3125190 4687785 5208650 7812975 9375570 15625950 23438925 46877850 94901603 189803206 284704809 474508015 569409618 854114427 949016030 1423524045 1708228854 2372540075 2847048090 4270572135 4745080150 7117620225 8541144270 14235240450 21352860675 42705721350