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245423502540 = 223251786819239
BaseRepresentation
bin1110010010010001100…
…0010111010011001100
3212110110222121200211100
43210210120113103030
513010111404040130
6304425045223100
723505552231366
oct3444430272314
9773428550740
10245423502540
11950a1194a47
123b693a01a90
131a1b2bb0328
14bc42ab1d36
1565b6169c60
hex39246174cc

245423502540 has 144 divisors (see below), whose sum is σ = 788418671040. Its totient is φ = 61582725120.

The previous prime is 245423502491. The next prime is 245423502553. The reversal of 245423502540 is 45205324542.

245423502540 is a `hidden beast` number, since 2 + 4 + 54 + 2 + 350 + 254 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 245423502495 and 245423502504.

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 47 ways as a sum of consecutive naturals, for example, 26559241 + ... + 26568479.

It is an arithmetic number, because the mean of its divisors is an integer number (5475129660).

Almost surely, 2245423502540 is an apocalyptic number.

245423502540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245423502540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394209335520).

245423502540 is an abundant number, since it is smaller than the sum of its proper divisors (542995168500).

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

245423502540 is a wasteful number, since it uses less digits than its factorization.

245423502540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17952 (or 17947 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 245423502540 in words is "two hundred forty-five billion, four hundred twenty-three million, five hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 8681 9239 17362 18478 26043 27717 34724 36956 43405 46195 52086 55434 78129 83151 86810 92390 104172 110868 130215 138585 147577 156258 157063 166302 173620 184780 260430 277170 295154 312516 314126 332604 390645 415755 442731 471189 520860 554340 590308 628252 737885 781290 785315 831510 885462 942378 1328193 1413567 1475770 1562580 1570630 1663020 1770924 1884756 2213655 2355945 2656386 2827134 2951540 3141260 4427310 4711890 5312772 5654268 6640965 7067835 8854620 9423780 13281930 14135670 26563860 28271340 80203759 160407518 240611277 320815036 401018795 481222554 721833831 802037590 962445108 1203056385 1363463903 1443667662 1604075180 2406112770 2726927806 2887335324 3609169155 4090391709 4812225540 5453855612 6817319515 7218338310 8180783418 12271175127 13634639030 14436676620 16361566836 20451958545 24542350254 27269278060 40903917090 49084700508 61355875635 81807834180 122711751270 245423502540