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104322145520128 = 29499719356767
BaseRepresentation
bin10111101110000101100100…
…011011010000101000000000
3111200101002200200122020112011
4113232011210123100220000
5102133203223223121003
61005512533153142304
730655012005660454
oct2756054433205000
9450332620566464
10104322145520128
1130270856523098
12b84a3b755a994
1346296c7ab3033
141ba930c4b4664
15c0d9d220e46d
hex5ee1646d0a00

104322145520128 has 80 divisors (see below), whose sum is σ = 208890969408000. Its totient is φ = 52048387547136.

The previous prime is 104322145520017. The next prime is 104322145520129. The reversal of 104322145520128 is 821025541223401.

It is a super-3 number, since 3×1043221455201283 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (104322145520129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1837696801 + ... + 1837753567.

It is an arithmetic number, because the mean of its divisors is an integer number (2611137117600).

Almost surely, 2104322145520128 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 104322145520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104445484704000).

104322145520128 is an abundant number, since it is smaller than the sum of its proper divisors (104568823887872).

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

104322145520128 is an frugal number, since it uses more digits than its factorization.

104322145520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64477 (or 64461 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

Adding to 104322145520128 its reverse (821025541223401), we get a palindrome (925347686743529).

The spelling of 104322145520128 in words is "one hundred four trillion, three hundred twenty-two billion, one hundred forty-five million, five hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 499 512 998 1996 3992 7193 7984 14386 15968 28772 31936 56767 57544 63872 113534 115088 127744 227068 230176 255488 454136 460352 908272 920704 1816544 1841408 3589307 3633088 3682816 7178614 7266176 14357228 14532352 28326733 28714456 29064704 56653466 57428912 113306932 114857824 226613864 229715648 408325031 453227728 459431296 816650062 906455456 918862592 1633300124 1812910912 1837725184 3266600248 3625821824 6533200496 7251643648 13066400992 14503287296 26132801984 52265603968 104531207936 203754190469 209062415872 407508380938 815016761876 1630033523752 3260067047504 6520134095008 13040268190016 26080536380032 52161072760064 104322145520128