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32425416112 = 2419538324247
BaseRepresentation
bin11110001100101101…
…001001010110110000
310002200210010210210111
4132030231021112300
51012401401303422
622521313111104
72225350326565
oct361455112660
9102623123714
1032425416112
111282a336061
12634b258494
133099a0c46b
1417d860286c
15c9ba20a77
hex78cb495b0

32425416112 has 80 divisors (see below), whose sum is σ = 68193135360. Its totient is φ = 14887431936.

The previous prime is 32425416109. The next prime is 32425416119. The reversal of 32425416112 is 21161452423.

It is a super-2 number, since 2×324254161122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32425416119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1325173 + ... + 1349419.

It is an arithmetic number, because the mean of its divisors is an integer number (852414192).

Almost surely, 232425416112 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 32425416112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34096567680).

32425416112 is an abundant number, since it is smaller than the sum of its proper divisors (35767719248).

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

32425416112 is a wasteful number, since it uses less digits than its factorization.

32425416112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24410 (or 24404 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

Adding to 32425416112 its reverse (21161452423), we get a palindrome (53586868535).

The spelling of 32425416112 in words is "thirty-two billion, four hundred twenty-five million, four hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 53 76 83 106 152 166 212 304 332 424 664 848 1007 1328 1577 2014 3154 4028 4399 6308 8056 8798 12616 16112 17596 24247 25232 35192 48494 70384 83581 96988 167162 193976 334324 387952 460693 668648 921386 1285091 1337296 1842772 2012501 2570182 3685544 4025002 5140364 7371088 8050004 10280728 16100008 20561456 24416729 32200016 38237519 48833458 76475038 97666916 106662553 152950076 195333832 213325106 305900152 390667664 426650212 611800304 853300424 1706600848 2026588507 4053177014 8106354028 16212708056 32425416112