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412342055531032 = 2311179173411509551
BaseRepresentation
bin101110111000001011101110…
…1101111101111001000011000
32000001222111220211011120122211
41131300113131233233020120
5413021303012203443112
64020551154130124504
7152565505346665114
oct13560273557571030
92001874824146584
10412342055531032
1110a426313680710
123a2b67a0120734
13149108c5939933
1473b7667928744
1532a0e6a8c60a7
hex17705ddbef218

412342055531032 has 64 divisors (see below), whose sum is σ = 848188285401600. Its totient is φ = 186370250640000.

The previous prime is 412342055531011. The next prime is 412342055531039. The reversal of 412342055531032 is 230135550243214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412342055531039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272400657 + ... + 273910207.

It is an arithmetic number, because the mean of its divisors is an integer number (13252941959400).

Almost surely, 2412342055531032 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 412342055531032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424094142700800).

412342055531032 is an abundant number, since it is smaller than the sum of its proper divisors (435846229870568).

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

412342055531032 is a wasteful number, since it uses less digits than its factorization.

412342055531032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527088 (or 1527084 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 412342055531032 in words is "four hundred twelve trillion, three hundred forty-two billion, fifty-five million, five hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 179 358 716 1432 1969 3938 7876 15752 17341 34682 69364 138728 190751 381502 763004 1509551 1526008 3019102 3104039 6038204 6208078 12076408 12416156 16605061 24832312 33210122 34144429 66420244 68288858 132840488 136577716 270209629 273155432 540419258 1080838516 2161677032 2972305919 5944611838 11889223676 23778447352 26177123891 52354247782 104708495564 209416991128 287948362801 575896725602 1151793451204 2303586902408 4685705176489 9371410352978 18742820705956 37485641411912 51542756941379 103085513882758 206171027765516 412342055531032