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42585583896 = 2333792719209
BaseRepresentation
bin100111101010010011…
…000111000100011000
311001220212021210211000
4213222103013010120
51144203402141041
631321420505000
73035211330162
oct475223070430
9131825253730
1042585583896
11170734a7539
1283059ab160
13402894886b
1420bdb39932
1511939babb6
hex9ea4c7118

42585583896 has 128 divisors (see below), whose sum is σ = 120245760000. Its totient is φ = 13962274560.

The previous prime is 42585583879. The next prime is 42585583961. The reversal of 42585583896 is 69838558524.

42585583896 is a `hidden beast` number, since 42 + 5 + 8 + 5 + 583 + 8 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4619740 + ... + 4628948.

It is an arithmetic number, because the mean of its divisors is an integer number (939420000).

Almost surely, 242585583896 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 42585583896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60122880000).

42585583896 is an abundant number, since it is smaller than the sum of its proper divisors (77660176104).

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

42585583896 is a wasteful number, since it uses less digits than its factorization.

42585583896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9564 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 42585583896 in words is "forty-two billion, five hundred eighty-five million, five hundred eighty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 271 316 474 542 632 711 813 948 1084 1422 1626 1896 2133 2168 2439 2844 3252 4266 4878 5688 6504 7317 8532 9209 9756 14634 17064 18418 19512 21409 27627 29268 36836 42818 55254 58536 64227 73672 82881 85636 110508 128454 165762 171272 192681 221016 248643 256908 331524 385362 497286 513816 578043 663048 727511 770724 994572 1156086 1455022 1541448 1989144 2182533 2312172 2495639 2910044 4365066 4624344 4991278 5820088 6547599 7486917 8730132 9982556 13095198 14973834 17460264 19642797 19965112 22460751 26190396 29947668 39285594 44921502 52380792 59895336 67382253 78571188 89843004 134764506 157142376 179686008 197155481 269529012 394310962 539058024 591466443 788621924 1182932886 1577243848 1774399329 2365865772 3548798658 4731731544 5323197987 7097597316 10646395974 14195194632 21292791948 42585583896