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103028390064 = 24325326351329
BaseRepresentation
bin101111111110011111…
…0000111100010110000
3100211221020002111102200
41133330332013202300
53142000231440224
6115155223543200
710305065603025
oct1377476074260
9324836074380
10103028390064
113a76a927406
1217b73bbab00
13993c054222
144db533754c
152a3003a5c9
hex17fcf878b0

103028390064 has 120 divisors (see below), whose sum is σ = 294899473440. Its totient is φ = 33566048256.

The previous prime is 103028390039. The next prime is 103028390107. The reversal of 103028390064 is 460093820301.

It is a super-2 number, since 2×1030283900642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981552 + ... + 2032880.

It is an arithmetic number, because the mean of its divisors is an integer number (2457495612).

Almost surely, 2103028390064 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 103028390064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147449736720).

103028390064 is an abundant number, since it is smaller than the sum of its proper divisors (191871083376).

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

103028390064 is a wasteful number, since it uses less digits than its factorization.

103028390064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51659 (or 51650 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 103028390064 in words is "one hundred three billion, twenty-eight million, three hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 263 318 424 477 526 636 789 848 954 1052 1272 1578 1908 2104 2367 2544 3156 3816 4208 4734 6312 7632 9468 12624 13939 18936 27878 37872 41817 51329 55756 83634 102658 111512 125451 153987 167268 205316 223024 250902 307974 334536 410632 461961 501804 615948 669072 821264 923922 1003608 1231896 1847844 2007216 2463792 2720437 3695688 5440874 7391376 8161311 10881748 13499527 16322622 21763496 24483933 26999054 32645244 40498581 43526992 48967866 53998108 65290488 80997162 97935732 107996216 121495743 130580976 161994324 195871464 215992432 242991486 323988648 391742928 485982972 647977296 715474931 971965944 1430949862 1943931888 2146424793 2861899724 4292849586 5723799448 6439274379 8585699172 11447598896 12878548758 17171398344 25757097516 34342796688 51514195032 103028390064