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10085393351160 = 2333537252387221
BaseRepresentation
bin1001001011000011000001…
…0010011100000111111000
31022201011011101212221202000
42102300300102130013320
52310214341144214120
633241055444541000
72060434310013621
oct222606022340770
938634141787660
1010085393351160
113239211691706
12116a7499b1760
1358208277308a
1426c1c82bca48
15127526b66990
hex92c3049c1f8

10085393351160 has 128 divisors (see below), whose sum is σ = 34526571969600. Its totient is φ = 2616750696960.

The previous prime is 10085393351149. The next prime is 10085393351203. The reversal of 10085393351160 is 6115339358001.

10085393351160 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 53 + 93 + 351 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126153651 + ... + 126233570.

Almost surely, 210085393351160 is an apocalyptic number.

10085393351160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10085393351160 is an abundant number, since it is smaller than the sum of its proper divisors (24441178618440).

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

10085393351160 is a wasteful number, since it uses less digits than its factorization.

10085393351160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252387278 (or 252387268 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 10085393351160 in words is "ten trillion, eighty-five billion, three hundred ninety-three million, three hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 252387221 504774442 757161663 1009548884 1261936105 1514323326 2019097768 2271484989 2523872210 3028646652 3785808315 4542969978 5047744420 6057293304 6814454967 7571616630 9085939956 9338327177 10095488840 11357424945 13628909934 15143233260 18171879912 18676654354 22714849890 27257819868 28014981531 30286466520 34072274835 37353308708 45429699780 46691635885 54515639736 56029963062 68144549670 74706617416 84044944593 90859399560 93383271770 112059926124 136289099340 140074907655 168089889186 186766543540 224119852248 252134833779 272578198680 280149815310 336179778372 373533087080 420224722965 504269667558 560299630620 672359556744 840449445930 1008539335116 1120599261240 1260674168895 1680898891860 2017078670232 2521348337790 3361797783720 5042696675580 10085393351160