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96856544610 = 2345743339451
BaseRepresentation
bin101101000110100011…
…0011001010101100010
3100021000002200021010000
41122031012121111202
53041330233411420
6112254551520430
76666124021350
oct1321506312542
9307002607100
1096856544610
1138092aa3591
1216931089116
1391974ab177
14498b7947d0
1527bd2aa690
hex168d199562

96856544610 has 160 divisors (see below), whose sum is σ = 298336655232. Its totient is φ = 22086950400.

The previous prime is 96856544581. The next prime is 96856544641. The reversal of 96856544610 is 1644565869.

96856544610 is a `hidden beast` number, since 9 + 6 + 85 + 6 + 544 + 6 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 2435385 + ... + 2474835.

Almost surely, 296856544610 is an apocalyptic number.

96856544610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96856544610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149168327616).

96856544610 is an abundant number, since it is smaller than the sum of its proper divisors (201480110622).

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

96856544610 is a wasteful number, since it uses less digits than its factorization.

96856544610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39910 (or 39901 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 96856544610 in words is "ninety-six billion, eight hundred fifty-six million, five hundred forty-four thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 433 567 630 810 866 945 1134 1299 1890 2165 2598 2835 3031 3897 4330 5670 6062 6495 7794 9093 11691 12990 15155 18186 19485 23382 27279 30310 35073 38970 39451 45465 54558 58455 70146 78902 81837 90930 116910 118353 136395 163674 175365 197255 236706 245511 272790 276157 350730 355059 394510 409185 491022 552314 591765 710118 818370 828471 1065177 1183530 1227555 1380785 1656942 1775295 2130354 2455110 2485413 2761570 3195531 3550590 4142355 4970826 5325885 6391062 7456239 8284710 10651770 12427065 14912478 15977655 17082283 22368717 24854130 31955310 34164566 37281195 44737434 51246849 74562390 85411415 102493698 111843585 119575981 153740547 170822830 223687170 239151962 256234245 307481094 358727943 461221641 512468490 597879905 717455886 768702735 922443282 1076183829 1195759810 1383664923 1537405470 1793639715 2152367658 2306108205 2767329846 3228551487 3587279430 4612216410 5380919145 6457102974 6918324615 9685654461 10761838290 13836649230 16142757435 19371308922 32285514870 48428272305 96856544610