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42532045332 = 22377158712149
BaseRepresentation
bin100111100111000110…
…111000001000010100
311001210010112202201020
4213213012320020110
51144101200422312
631312225201140
73033661264110
oct474706701024
9131703482636
1042532045332
111704625a197
1282aba901b0
13401a82193a
1420b69a0740
15118de4278c
hex9e71b8214

42532045332 has 96 divisors (see below), whose sum is σ = 115221657600. Its totient is φ = 11959463040.

The previous prime is 42532045331. The next prime is 42532045373. The reversal of 42532045332 is 23354023524.

It is a junction number, because it is equal to n+sod(n) for n = 42532045293 and 42532045302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42532045331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3494794 + ... + 3506942.

It is an arithmetic number, because the mean of its divisors is an integer number (1200225600).

Almost surely, 242532045332 is an apocalyptic number.

42532045332 is a gapful number since it is divisible by the number (42) 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 42532045332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57610828800).

42532045332 is an abundant number, since it is smaller than the sum of its proper divisors (72689612268).

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

42532045332 is a wasteful number, since it uses less digits than its factorization.

42532045332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12821 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 42532045332 its reverse (23354023524), we get a palindrome (65886068856).

The spelling of 42532045332 in words is "forty-two billion, five hundred thirty-two million, forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 587 852 994 1174 1491 1761 1988 2348 2982 3522 4109 5964 7044 8218 12149 12327 16436 24298 24654 36447 41677 48596 49308 72894 83354 85043 125031 145788 166708 170086 250062 255129 291739 340172 500124 510258 583478 862579 875217 1020516 1166956 1725158 1750434 2587737 3450316 3500868 5175474 6038053 7131463 10350948 12076106 14262926 18114159 21394389 24152212 28525852 36228318 42788778 49920241 72456636 85577556 99840482 149760723 199680964 299521446 506333873 599042892 1012667746 1519001619 2025335492 3038003238 3544337111 6076006476 7088674222 10633011333 14177348444 21266022666 42532045332