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42857316560 = 2451961563821
BaseRepresentation
bin100111111010011111…
…101100000011010000
311002121210121020221202
4213322133230003100
51200232433112220
631404405010332
73045021115532
oct477237540320
9132553536852
1042857316560
11171a2924293
1283809b39a8
13407002a216
142107c71852
1511ac794275
hex9fa7ec0d0

42857316560 has 160 divisors (see below), whose sum is σ = 106926549120. Its totient is φ = 15926630400.

The previous prime is 42857316533. The next prime is 42857316569. The reversal of 42857316560 is 6561375824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42857316569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52200950 + ... + 52201770.

It is an arithmetic number, because the mean of its divisors is an integer number (668290932).

Almost surely, 242857316560 is an apocalyptic number.

42857316560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42857316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53463274560).

42857316560 is an abundant number, since it is smaller than the sum of its proper divisors (64069232560).

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

42857316560 is a wasteful number, since it uses less digits than its factorization.

42857316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 42857316560 in words is "forty-two billion, eight hundred fifty-seven million, three hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 61 76 80 95 122 152 190 244 304 305 380 488 563 610 760 821 976 1126 1159 1220 1520 1642 2252 2318 2440 2815 3284 4105 4504 4636 4880 5630 5795 6568 8210 9008 9272 10697 11260 11590 13136 15599 16420 18544 21394 22520 23180 31198 32840 34343 42788 45040 46360 50081 53485 62396 65680 68686 77995 85576 92720 100162 106970 124792 137372 155990 171152 171715 200324 213940 249584 250405 274744 311980 343430 400648 427880 462223 500810 549488 623960 652517 686860 801296 855760 924446 951539 1001620 1247920 1305034 1373720 1848892 1903078 2003240 2311115 2610068 2747440 3262585 3697784 3806156 4006480 4622230 4757695 5220136 6525170 7395568 7612312 8782237 9244460 9515390 10440272 13050340 15224624 17564474 18488920 19030780 26100680 28195603 35128948 36977840 38061560 43911185 52201360 56391206 70257896 76123120 87822370 112782412 140515792 140978015 175644740 225564824 281956030 351289480 451129648 535716457 563912060 702578960 1071432914 1127824120 2142865828 2255648240 2678582285 4285731656 5357164570 8571463312 10714329140 21428658280 42857316560