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130056543720 = 23325894059193
BaseRepresentation
bin111100100011111111…
…0010101110111101000
3110102200212022222000200
41321013332111313220
54112323433344340
6135425215032200
712252631244565
oct1710776256750
9412625288020
10130056543720
115017a58a284
122125780b660
13c35881155c
14641abc786c
1535b2cd2330
hex1e47f95de8

130056543720 has 96 divisors (see below), whose sum is σ = 427433128200. Its totient is φ = 34292054016.

The previous prime is 130056543709. The next prime is 130056543737. The reversal of 130056543720 is 27345650031.

130056543720 is a `hidden beast` number, since 1 + 30 + 0 + 565 + 43 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106384259556 + 23672284164 = 326166^2 + 153858^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997557 + ... + 2061636.

Almost surely, 2130056543720 is an apocalyptic number.

130056543720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130056543720 is an abundant number, since it is smaller than the sum of its proper divisors (297376584480).

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

130056543720 is a wasteful number, since it uses less digits than its factorization.

130056543720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059299 (or 4059292 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 130056543720 in words is "one hundred thirty billion, fifty-six million, five hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 32040 4059193 8118386 12177579 16236772 20295965 24355158 32473544 36532737 40591930 48710316 60887895 73065474 81183860 97420632 121775790 146130948 162367720 182663685 243551580 292261896 361268177 365327370 487103160 722536354 730654740 1083804531 1445072708 1461309480 1806340885 2167609062 2890145416 3251413593 3612681770 4335218124 5419022655 6502827186 7225363540 8670436248 10838045310 13005654372 14450727080 16257067965 21676090620 26011308744 32514135930 43352181240 65028271860 130056543720