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9678117384 = 23331312772699
BaseRepresentation
bin10010000001101110…
…00101101000001000
3220222111002022012000
421000313011220020
5124310044224014
64240203351000
7461555432445
oct110067055010
926874068160
109678117384
114117054921
121a61222460
13bb30ca3a0
1467b4d49cc
153b99ca509
hex240dc5a08

9678117384 has 128 divisors (see below), whose sum is σ = 28985040000. Its totient is φ = 2974447872.

The previous prime is 9678117373. The next prime is 9678117389. The reversal of 9678117384 is 4837118769.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9678117384.

It is not an unprimeable number, because it can be changed into a prime (9678117389) 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, 3584467 + ... + 3587165.

It is an arithmetic number, because the mean of its divisors is an integer number (226445625).

Almost surely, 29678117384 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 9678117384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492520000).

9678117384 is an abundant number, since it is smaller than the sum of its proper divisors (19306922616).

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

9678117384 is a wasteful number, since it uses less digits than its factorization.

9678117384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3994 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 9678117384 is about 98377.4231416945. The cubic root of 9678117384 is about 2131.0663020533.

The spelling of 9678117384 in words is "nine billion, six hundred seventy-eight million, one hundred seventeen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1277 1404 2554 2699 2808 3831 5108 5398 7662 8097 10216 10796 11493 15324 16194 16601 21592 22986 24291 30648 32388 33202 34479 35087 45972 48582 49803 64776 66404 68958 70174 72873 91944 97164 99606 105261 132808 137916 140348 145746 149409 194328 199212 210522 275832 280696 291492 298818 315783 398424 421044 448227 582984 597636 631566 842088 896454 947349 1195272 1263132 1792908 1894698 2526264 3446623 3585816 3789396 6893246 7578792 10339869 13786492 20679738 27572984 31019607 41359476 44806099 62039214 82718952 89612198 93058821 124078428 134418297 179224396 186117642 248156856 268836594 358448792 372235284 403254891 537673188 744470568 806509782 1075346376 1209764673 1613019564 2419529346 3226039128 4839058692 9678117384