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7985673150 = 2352713585031
BaseRepresentation
bin1110110111111101…
…11011001110111110
3202121112110020011020
413123332323032332
5112323313020100
63400224405010
7401615046630
oct73376731676
922545406136
107985673150
113428782484
12166a476766
139a3597cb0
1455a818a50
1531b11a5a0
hex1dbfbb3be

7985673150 has 96 divisors (see below), whose sum is σ = 24374773248. Its totient is φ = 1684886400.

The previous prime is 7985673149. The next prime is 7985673193. The reversal of 7985673150 is 513765897.

It is a junction number, because it is equal to n+sod(n) for n = 7985673093 and 7985673102.

It is a congruent number.

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, 278866 + ... + 306165.

It is an arithmetic number, because the mean of its divisors is an integer number (253903888).

Almost surely, 27985673150 is an apocalyptic number.

7985673150 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7985673150 is an abundant number, since it is smaller than the sum of its proper divisors (16389100098).

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

7985673150 is a wasteful number, since it uses less digits than its factorization.

7985673150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585066 (or 585061 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The square root of 7985673150 is about 89362.5936843823. The cubic root of 7985673150 is about 1998.8053824198.

The spelling of 7985673150 in words is "seven billion, nine hundred eighty-five million, six hundred seventy-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 13650 585031 1170062 1755093 2925155 3510186 4095217 5850310 7605403 8190434 8775465 12285651 14625775 15210806 17550930 20476085 22816209 24571302 29251550 38027015 40952170 43877325 45632418 53237821 61428255 76054030 87754650 102380425 106475642 114081045 122856510 159713463 190135075 204760850 228162090 266189105 307141275 319426926 380270150 532378210 570405225 614282550 798567315 1140810450 1330945525 1597134630 2661891050 3992836575 7985673150