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42861701316 = 223717169317729
BaseRepresentation
bin100111111010110000…
…011010100011000100
311002122002212000201010
4213322300122203010
51200240043420231
631405043002220
73045103310220
oct477260324304
9132562760633
1042861701316
11171a5349655
128382369370
134070c03c55
142108693780
1511acd5d546
hex9fac1a8c4

42861701316 has 96 divisors (see below), whose sum is σ = 121099587840. Its totient is φ = 11518377984.

The previous prime is 42861701279. The next prime is 42861701317. The reversal of 42861701316 is 61310716824.

It is a super-2 number, since 2×428617013162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42861701317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2408740 + ... + 2426468.

It is an arithmetic number, because the mean of its divisors is an integer number (1261454040).

Almost surely, 242861701316 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 42861701316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60549793920).

42861701316 is an abundant number, since it is smaller than the sum of its proper divisors (78237886524).

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

42861701316 is a wasteful number, since it uses less digits than its factorization.

42861701316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19453 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 42861701316 in words is "forty-two billion, eight hundred sixty-one million, seven hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1693 3386 5079 6772 10158 11851 17729 20316 23702 28781 35458 35553 47404 53187 57562 70916 71106 86343 106374 115124 124103 142212 172686 201467 212748 248206 301393 345372 372309 402934 496412 602786 604401 744618 805868 904179 1205572 1208802 1489236 1808358 2109751 2417604 3616716 4219502 6329253 8439004 12658506 25317012 30015197 60030394 90045591 120060788 180091182 210106379 360182364 420212758 510258349 630319137 840425516 1020516698 1260638274 1530775047 2041033396 2521276548 3061550094 3571808443 6123100188 7143616886 10715425329 14287233772 21430850658 42861701316