Search a number
-
+
5117370480 = 243355344701
BaseRepresentation
bin1001100010000010…
…01110000001110000
3111012122020100121000
410301001032001300
540440021323410
62203443002000
7240545634315
oct46101160160
914178210530
105117370480
112196693202
12ba9969300
13637274991
143678d4d0c
151ee3dcdc0
hex13104e070

5117370480 has 160 divisors (see below), whose sum is σ = 17959475520. Its totient is φ = 1338854400.

The previous prime is 5117370469. The next prime is 5117370497. The reversal of 5117370480 is 840737115.

5117370480 is a `hidden beast` number, since 5 + 1 + 173 + 7 + 0 + 480 = 666.

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

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 92130 + ... + 136830.

It is an arithmetic number, because the mean of its divisors is an integer number (112246722).

Almost surely, 25117370480 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 5117370480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979737760).

5117370480 is an abundant number, since it is smaller than the sum of its proper divisors (12842105040).

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

5117370480 is a wasteful number, since it uses less digits than its factorization.

5117370480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44776 (or 44764 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5117370480 is about 71535.7985906357. The cubic root of 5117370480 is about 1723.2526426916.

The spelling of 5117370480 in words is "five billion, one hundred seventeen million, three hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 265 270 318 360 424 432 477 530 540 636 720 795 848 954 1060 1080 1272 1431 1590 1908 2120 2160 2385 2544 2862 3180 3816 4240 4770 5724 6360 7155 7632 9540 11448 12720 14310 19080 22896 28620 38160 44701 57240 89402 114480 134103 178804 223505 268206 357608 402309 447010 536412 670515 715216 804618 894020 1072824 1206927 1341030 1609236 1788040 2011545 2145648 2369153 2413854 2682060 3218472 3576080 4023090 4738306 4827708 5364120 6034635 6436944 7107459 8046180 9476612 9655416 10728240 11845765 12069270 14214918 16092360 18953224 19310832 21322377 23691530 24138540 28429836 32184720 35537295 37906448 42644754 47383060 48277080 56859672 63967131 71074590 85289508 94766120 96554160 106611885 113719344 127934262 142149180 170579016 189532240 213223770 255868524 284298360 319835655 341158032 426447540 511737048 568596720 639671310 852895080 1023474096 1279342620 1705790160 2558685240 5117370480