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130577250960 = 24335134650187
BaseRepresentation
bin111100110011100000…
…0101011101010010000
3110111001011010122002000
41321213000223222100
54114410234012320
6135553015354000
712301553214522
oct1714700535220
9414034118060
10130577250960
11504174aa342
1221382082900
13c40c666950
14646a00da12
1535e388ac90
hex1e6702ba90

130577250960 has 160 divisors (see below), whose sum is σ = 484363582080. Its totient is φ = 32142085632.

The previous prime is 130577250943. The next prime is 130577250989. The reversal of 130577250960 is 69052775031.

130577250960 is a `hidden beast` number, since 1 + 30 + 57 + 7 + 2 + 509 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 2297014 + ... + 2353173.

It is an arithmetic number, because the mean of its divisors is an integer number (3027272388).

Almost surely, 2130577250960 is an apocalyptic number.

130577250960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130577250960 is an abundant number, since it is smaller than the sum of its proper divisors (353786331120).

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

130577250960 is a wasteful number, since it uses less digits than its factorization.

130577250960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650222 (or 4650210 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 130577250960 in words is "one hundred thirty billion, five hundred seventy-seven million, two hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 4650187 9300374 13950561 18600748 23250935 27901122 37201496 41851683 46501870 55802244 60452431 69752805 74402992 83703366 93003740 111604488 120904862 125555049 139505610 167406732 181357293 186007480 209258415 223208976 241809724 251110098 279011220 302262155 334813464 362714586 372014960 418516830 483619448 502220196 544071879 558022440 604524310 627775245 669626928 725429172 837033660 906786465 967238896 1004440392 1088143758 1116044880 1209048620 1255550490 1450858344 1632215637 1674067320 1813572930 2008880784 2176287516 2418097240 2511100980 2720359395 2901716688 3264431274 3348134640 3627145860 4352575032 4836194480 5022201960 5440718790 6528862548 7254291720 8161078185 8705150064 10044403920 10881437580 13057725096 14508583440 16322156370 21762875160 26115450192 32644312740 43525750320 65288625480 130577250960