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4102061808 = 2431341223719
BaseRepresentation
bin1111010010000000…
…0111111011110000
3101120212202022221010
43310200013323300
531400111434213
61515013230520
7203436643605
oct36440077360
911525668833
104102061808
111815563829
12965932440
13504b07810
142acb206ac
151901d5ac3
hexf4807ef0

4102061808 has 160 divisors (see below), whose sum is σ = 11759247360. Its totient is φ = 1224161280.

The previous prime is 4102061779. The next prime is 4102061827. The reversal of 4102061808 is 8081602014.

4102061808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41020618082 = 33653822153304457728, which contains 22 as substring.

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, 5704873 + ... + 5705591.

It is an arithmetic number, because the mean of its divisors is an integer number (73495296).

Almost surely, 24102061808 is an apocalyptic number.

4102061808 is a gapful number since it is divisible by the number (48) 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 4102061808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879623680).

4102061808 is an abundant number, since it is smaller than the sum of its proper divisors (7657185552).

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

4102061808 is a wasteful number, since it uses less digits than its factorization.

4102061808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 4102061808 is about 64047.3403663259. The cubic root of 4102061808 is about 1600.7889088670.

The spelling of 4102061808 in words is "four billion, one hundred two million, sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 223 246 312 328 446 492 533 624 656 669 719 892 984 1066 1338 1438 1599 1784 1968 2132 2157 2676 2876 2899 3198 3568 4264 4314 5352 5752 5798 6396 8528 8628 8697 9143 9347 10704 11504 11596 12792 17256 17394 18286 18694 23192 25584 27429 28041 29479 34512 34788 36572 37388 46384 54858 56082 58958 69576 73144 74776 88437 109716 112164 117916 118859 139152 146288 149552 160337 176874 219432 224328 235832 237718 320674 353748 356577 383227 438864 448656 471664 475436 481011 641348 707496 713154 766454 950872 962022 1149681 1282696 1414992 1426308 1532908 1901744 1924044 2084381 2299362 2565392 2852616 3065816 3848088 4168762 4598724 5705232 6131632 6253143 6573817 7696176 8337524 9197448 12506286 13147634 16675048 18394896 19721451 25012572 26295268 33350096 39442902 50025144 52590536 78885804 85459621 100050288 105181072 157771608 170919242 256378863 315543216 341838484 512757726 683676968 1025515452 1367353936 2051030904 4102061808