Search a number
-
+
10087254987720 = 2335593198771341
BaseRepresentation
bin1001001011001001111101…
…0000000001001111001000
31022201022222010212220000020
42102302133100001033020
52310232144234101340
633242004310140440
72060531403452511
oct222623720011710
938638863786006
1010087254987720
113239a87514819
12116ab89351720
135822bb363c81
1426c32363ba08
151275d52e79d0
hex92c9f4013c8

10087254987720 has 128 divisors (see below), whose sum is σ = 30328477280640. Its totient is φ = 2684009410560.

The previous prime is 10087254987707. The next prime is 10087254987721. The reversal of 10087254987720 is 2778945278001.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10087254987721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141359250 + ... + 141430590.

It is an arithmetic number, because the mean of its divisors is an integer number (236941228755).

Almost surely, 210087254987720 is an apocalyptic number.

10087254987720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10087254987720 is an abundant number, since it is smaller than the sum of its proper divisors (20241222292920).

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

10087254987720 is a wasteful number, since it uses less digits than its factorization.

10087254987720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73935 (or 73931 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 10087254987720 in words is "ten trillion, eighty-seven billion, two hundred fifty-four million, nine hundred eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 593 1186 1779 1987 2372 2965 3558 3974 4744 5930 5961 7116 7948 8895 9935 11860 11922 14232 15896 17790 19870 23720 23844 29805 35580 39740 47688 59610 71160 71341 79480 119220 142682 214023 238440 285364 356705 428046 570728 713410 856092 1070115 1178291 1426820 1712184 2140230 2356582 2853640 3534873 4280460 4713164 5891455 7069746 8560920 9426328 11782910 14139492 17674365 23565820 28278984 35348730 42305213 47131640 70697460 84610426 126915639 141394920 141754567 169220852 211526065 253831278 283509134 338441704 423052130 425263701 507662556 567018268 634578195 708772835 846104260 850527402 1015325112 1134036536 1269156390 1417545670 1692208520 1701054804 2126318505 2538312780 2835091340 3402109608 4252637010 5076625560 5670182680 8505274020 17010548040 84060458231 168120916462 252181374693 336241832924 420302291155 504362749386 672483665848 840604582310 1008725498772 1260906873465 1681209164620 2017450997544 2521813746930 3362418329240 5043627493860 10087254987720