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3961040524168 = 2371350330193583
BaseRepresentation
bin111001101001000000011…
…010011101001110001000
3112000200010201120021020211
4321221000122131032020
51004344202333233133
612231402113130504
7556114163633350
oct71510032351610
915020121507224
103961040524168
111297960125862
1253b814559a34
132296a84a1660
14d9a0302bb60
156d080a0bbcd
hex39a4069d388

3961040524168 has 128 divisors (see below), whose sum is σ = 9164626329600. Its totient is φ = 1562935378176.

The previous prime is 3961040524151. The next prime is 3961040524223. The reversal of 3961040524168 is 8614250401693.

It is a super-2 number, since 2×39610405241682 (a number of 26 digits) contains 22 as substring.

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, 1105507705 + ... + 1105511287.

It is an arithmetic number, because the mean of its divisors is an integer number (71598643200).

Almost surely, 23961040524168 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 3961040524168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582313164800).

3961040524168 is an abundant number, since it is smaller than the sum of its proper divisors (5203585805432).

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

3961040524168 is a wasteful number, since it uses less digits than its factorization.

3961040524168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 3961040524168 in words is "three trillion, nine hundred sixty-one billion, forty million, five hundred twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 503 728 1006 2012 3019 3521 3583 4024 6038 6539 7042 7166 12076 13078 14084 14332 21133 24152 25081 26156 28168 28664 39247 42266 45773 46579 50162 52312 78494 84532 91546 93158 100324 156988 169064 183092 186316 200648 274729 313976 326053 366184 372632 549458 652106 1098916 1304212 1518557 1802249 2197832 2608424 3037114 3604498 6074228 7208996 10629899 10817077 12148456 12615743 14417992 19741241 21259798 21634154 23429237 25231486 39482482 42519596 43268308 46858474 50462972 75719539 78964964 85039192 86536616 93716948 100925944 138188687 140622001 151439078 157929928 164004659 187433896 276377374 281244002 302878156 328009318 552754748 562488004 605756312 656018636 984354007 1105509496 1124976008 1312037272 1968708014 3937416028 5440989731 7874832056 10881979462 21763958924 38086928117 43527917848 70732866503 76173856234 141465733006 152347712468 282931466012 304695424936 495130065521 565862932024 990260131042 1980520262084 3961040524168