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42857559936 = 2732221316811
BaseRepresentation
bin100111111010100000…
…100111011110000000
311002121211001121210200
4213322200213132000
51200233013404221
631404414125200
73045023151222
oct477240473600
9132554047720
1042857559936
11171a2a80124
128380ab0800
1340700b3c29
142107cd6412
1511ac7e1426
hex9fa827780

42857559936 has 96 divisors (see below), whose sum is σ = 123390160920. Its totient is φ = 14278548480.

The previous prime is 42857559883. The next prime is 42857559937. The reversal of 42857559936 is 63995575824.

42857559936 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 7 + 5 + 599 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42857559937) 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 11 ways as a sum of consecutive naturals, for example, 2540971 + ... + 2557781.

Almost surely, 242857559936 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 42857559936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61695080460).

42857559936 is an abundant number, since it is smaller than the sum of its proper divisors (80532600984).

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

42857559936 is a wasteful number, since it uses less digits than its factorization.

42857559936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19044 (or 19029 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 42857559936 in words is "forty-two billion, eight hundred fifty-seven million, five hundred fifty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2213 4426 6639 8852 13278 16811 17704 19917 26556 33622 35408 39834 50433 53112 67244 70816 79668 100866 106224 134488 141632 151299 159336 201732 212448 268976 283264 302598 318672 403464 424896 537952 605196 637344 806928 849792 1075904 1210392 1274688 1613856 2151808 2420784 2549376 3227712 4841568 6455424 9683136 19366272 37202743 74405486 111608229 148810972 223216458 297621944 334824687 446432916 595243888 669649374 892865832 1190487776 1339298748 1785731664 2380975552 2678597496 3571463328 4761951104 5357194992 7142926656 10714389984 14285853312 21428779968 42857559936