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42824286660 = 22352937365983
BaseRepresentation
bin100111111000100001…
…101100000111000100
311002112111110011110010
4213320201230013010
51200201004133120
631401225030220
73044140300461
oct477041540704
9132474404403
1042824286660
1117186214451
128371925370
1340662340bc
142103714668
1511a991c7e0
hex9f886c1c4

42824286660 has 96 divisors (see below), whose sum is σ = 124377200640. Its totient is φ = 10996296192.

The previous prime is 42824286647. The next prime is 42824286667. The reversal of 42824286660 is 6668242824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42824286667) 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, 616029 + ... + 682011.

It is an arithmetic number, because the mean of its divisors is an integer number (1295595840).

Almost surely, 242824286660 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 42824286660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62188600320).

42824286660 is an abundant number, since it is smaller than the sum of its proper divisors (81552913980).

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

42824286660 is a wasteful number, since it uses less digits than its factorization.

42824286660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66397 (or 66395 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 42824286660 in words is "forty-two billion, eight hundred twenty-four million, two hundred eighty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 373 435 580 746 870 1119 1492 1740 1865 2238 3730 4476 5595 7460 10817 11190 21634 22380 32451 43268 54085 64902 65983 108170 129804 131966 162255 197949 216340 263932 324510 329915 395898 649020 659830 791796 989745 1319660 1913507 1979490 3827014 3958980 5740521 7654028 9567535 11481042 19135070 22962084 24611659 28702605 38270140 49223318 57405210 73834977 98446636 114810420 123058295 147669954 246116590 295339908 369174885 492233180 713738111 738349770 1427476222 1476699540 2141214333 2854952444 3568690555 4282428666 7137381110 8564857332 10706071665 14274762220 21412143330 42824286660