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8421857377968 = 2431935939764793
BaseRepresentation
bin111101010001101110111…
…0100010011111010110000
31002211010021201110121200110
41322203131310103322300
52100440430442043333
625524540423421320
71526313322365246
oct172433564237260
932733251417613
108421857377968
112757764a29171
12b40266bb4840
13491240669838
14211897698796
15e91126b9063
hex7a8ddd13eb0

8421857377968 has 160 divisors (see below), whose sum is σ = 23023537113600. Its totient is φ = 2645404489728.

The previous prime is 8421857377961. The next prime is 8421857377991. The reversal of 8421857377968 is 8697737581248.

It is a self number, because there is not a number n which added to its sum of digits gives 8421857377968.

It is not an unprimeable number, because it can be changed into a prime (8421857377961) 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, 129948580 + ... + 130013372.

It is an arithmetic number, because the mean of its divisors is an integer number (143897106960).

Almost surely, 28421857377968 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 8421857377968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11511768556800).

8421857377968 is an abundant number, since it is smaller than the sum of its proper divisors (14601679735632).

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

8421857377968 is a wasteful number, since it uses less digits than its factorization.

8421857377968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65579 (or 65573 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 75.

The spelling of 8421857377968 in words is "eight trillion, four hundred twenty-one billion, eight hundred fifty-seven million, three hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 359 397 456 718 794 912 1077 1191 1436 1588 2154 2382 2872 3176 4308 4764 5744 6352 6821 7543 8616 9528 13642 15086 17232 19056 20463 22629 27284 30172 40926 45258 54568 60344 64793 81852 90516 109136 120688 129586 142523 163704 181032 194379 259172 285046 327408 362064 388758 427569 518344 570092 777516 855138 1036688 1140184 1231067 1555032 1710276 2280368 2462134 2707937 3110064 3420552 3693201 4924268 5415874 6841104 7386402 8123811 9848536 10831748 14772804 16247622 19697072 21663496 23260687 25722821 29545608 32495244 43326992 46521374 51445642 59091216 64990488 69782061 77168463 93042748 102891284 129980976 139564122 154336926 186085496 205782568 279128244 308673852 372170992 411565136 441953053 488733599 558256488 617347704 883906106 977467198 1116512976 1234695408 1325859159 1466200797 1767812212 1954934396 2651718318 2932401594 3535624424 3909868792 5303436636 5864803188 7071248848 7819737584 9234492739 10606873272 11729606376 18468985478 21213746544 23459212752 27703478217 36937970956 55406956434 73875941912 110813912868 147751883824 175455362041 221627825736 350910724082 443255651472 526366086123 701821448164 1052732172246 1403642896328 2105464344492 2807285792656 4210928688984 8421857377968