Search a number
-
+
107025574500 = 223253131829497
BaseRepresentation
bin110001110101100111…
…0001010101001100100
3101020020210111111122200
41203223032022221210
53223142021341000
6121100013254500
710506123241665
oct1435316125144
9336223444580
10107025574500
1141431168219
12188aa794430
13a1281cb210
14527415736c
152bb5e06500
hex18eb38aa64

107025574500 has 144 divisors (see below), whose sum is σ = 363601750512. Its totient is φ = 26344742400.

The previous prime is 107025574483. The next prime is 107025574511. The reversal of 107025574500 is 5475520701.

107025574500 is a `hidden beast` number, since 10 + 7 + 0 + 25 + 574 + 50 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 56314137636 + 50711436864 = 237306^2 + 225192^2 .

It is a super-2 number, since 2×1070255745002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856249 + ... + 973248.

Almost surely, 2107025574500 is an apocalyptic number.

107025574500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107025574500 is an abundant number, since it is smaller than the sum of its proper divisors (256576176012).

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

107025574500 is a wasteful number, since it uses less digits than its factorization.

107025574500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829535 (or 1829520 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 107025574500 in words is "one hundred seven billion, twenty-five million, five hundred seventy-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 250 260 300 325 375 390 450 468 500 585 650 750 780 900 975 1125 1170 1300 1500 1625 1950 2250 2340 2925 3250 3900 4500 4875 5850 6500 9750 11700 14625 19500 29250 58500 1829497 3658994 5488491 7317988 9147485 10976982 16465473 18294970 21953964 23783461 27442455 32930946 36589940 45737425 47566922 54884910 65861892 71350383 82327365 91474850 95133844 109769820 118917305 137212275 142700766 164654730 182949700 214051149 228687125 237834610 274424550 285401532 329309460 356751915 411636825 428102298 457374250 475669220 548849100 594586525 686061375 713503830 823273650 856204596 914748500 1070255745 1189173050 1372122750 1427007660 1646547300 1783759575 2058184125 2140511490 2378346100 2744245500 2972932625 3567519150 4116368250 4281022980 5351278725 5945865250 7135038300 8232736500 8918797875 10702557450 11891730500 17837595750 21405114900 26756393625 35675191500 53512787250 107025574500