Search a number
-
+
159248933460 = 223254718823751
BaseRepresentation
bin1001010001001111111…
…0011110001001010100
3120020001022222000101200
42110103332132021110
510102120211332320
6201054041152500
714335223412561
oct2242376361124
9506038860350
10159248933460
116159a964811
1226a4418b730
131202b78a856
1479c9c85868
154220a7e290
hex2513f9e254

159248933460 has 72 divisors (see below), whose sum is σ = 493332892416. Its totient is φ = 41562840000.

The previous prime is 159248933411. The next prime is 159248933483. The reversal of 159248933460 is 64339842951.

159248933460 is a `hidden beast` number, since 1 + 5 + 9 + 248 + 9 + 334 + 60 = 666.

159248933460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 159248933397 and 159248933406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9403416 + ... + 9420335.

It is an arithmetic number, because the mean of its divisors is an integer number (6851845728).

Almost surely, 2159248933460 is an apocalyptic number.

159248933460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159248933460 is an abundant number, since it is smaller than the sum of its proper divisors (334083958956).

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

159248933460 is a wasteful number, since it uses less digits than its factorization.

159248933460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18823813 (or 18823808 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 159248933460 in words is "one hundred fifty-nine billion, two hundred forty-eight million, nine hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 18823751 37647502 56471253 75295004 94118755 112942506 169413759 188237510 225885012 282356265 338827518 376475020 564712530 677655036 847068795 884716297 1129425060 1694137590 1769432594 2654148891 3388275180 3538865188 4423581485 5308297782 7962446673 8847162970 10616595564 13270744455 15924893346 17694325940 26541488910 31849786692 39812233365 53082977820 79624466730 159248933460