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9850808039168 = 281492292514493
BaseRepresentation
bin1000111101011001000111…
…1010011111011100000000
31021212201122202020101022102
42033112101322133130000
52242343423324223133
632541222043325532
72034461130531335
oct217262172373400
937781582211272
109850808039168
113158782367738
12113119b8208a8
13565c09115165
14260ad2bda98c
151213972777e8
hex8f591e9f700

9850808039168 has 144 divisors (see below), whose sum is σ = 19965197196000. Its totient is φ = 4850497536000.

The previous prime is 9850808039147. The next prime is 9850808039251. The reversal of 9850808039168 is 8619308080589.

9850808039168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2192476730 + ... + 2192481222.

It is an arithmetic number, because the mean of its divisors is an integer number (138647202750).

Almost surely, 29850808039168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9850808039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982598598000).

9850808039168 is an abundant number, since it is smaller than the sum of its proper divisors (10114389156832).

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

9850808039168 is a wasteful number, since it uses less digits than its factorization.

9850808039168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 65.

The spelling of 9850808039168 in words is "nine trillion, eight hundred fifty billion, eight hundred eight million, thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 149 229 251 256 298 458 502 596 916 1004 1192 1832 2008 2384 3664 4016 4493 4768 7328 8032 8986 9536 14656 16064 17972 19072 29312 32128 34121 35944 37399 38144 57479 58624 64256 68242 71888 74798 114958 136484 143776 149596 229916 272968 287552 299192 459832 545936 575104 598384 669457 919664 1028897 1091872 1127743 1150208 1196768 1338914 1839328 2057794 2183744 2255486 2393536 2677828 3678656 4115588 4367488 4510972 4787072 5355656 7357312 8231176 8564371 8734976 9021944 9574144 10711312 14714624 16462352 17128742 18043888 21422624 32924704 34257484 36087776 42845248 65849408 68514968 72175552 85690496 131698816 137029936 144351104 153305653 168033707 171380992 258253147 263397632 274059872 288702208 306611306 336067414 516506294 548119744 613222612 672134828 1033012588 1096239488 1226445224 1344269656 2066025176 2192478976 2452890448 2688539312 4132050352 4905780896 5377078624 8264100704 9811561792 10754157248 16528201408 19623123584 21508314496 33056402816 38479718903 39246247168 43016628992 66112805632 76959437806 153918875612 307837751224 615675502448 1231351004896 2462702009792 4925404019584 9850808039168