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32324541012 = 22326717974869
BaseRepresentation
bin11110000110101100…
…010101101001010100
310002102202022211011200
4132012230111221110
51012200040303022
622503311032500
72223014031231
oct360654255124
9102382284150
1032324541012
11127883a7105
12632150b730
133081b5055a
1417c9064788
15c92c46bac
hex786b15a54

32324541012 has 72 divisors (see below), whose sum is σ = 83393200800. Its totient is φ = 10554591168.

The previous prime is 32324540987. The next prime is 32324541017. The reversal of 32324541012 is 21014542323.

32324541012 is a `hidden beast` number, since 3 + 2 + 3 + 245 + 410 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32324541017) 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 23 ways as a sum of consecutive naturals, for example, 394314 + ... + 469182.

It is an arithmetic number, because the mean of its divisors is an integer number (1158238900).

Almost surely, 232324541012 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 32324541012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696600400).

32324541012 is an abundant number, since it is smaller than the sum of its proper divisors (51068659788).

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

32324541012 is a wasteful number, since it uses less digits than its factorization.

32324541012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75125 (or 75120 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 32324541012 in words is "thirty-two billion, three hundred twenty-four million, five hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 179 201 268 358 402 537 603 716 804 1074 1206 1611 2148 2412 3222 6444 11993 23986 35979 47972 71958 74869 107937 143916 149738 215874 224607 299476 431748 449214 673821 898428 1347642 2695284 5016223 10032446 13401551 15048669 20064892 26803102 30097338 40204653 45146007 53606204 60194676 80409306 90292014 120613959 160818612 180584028 241227918 482455836 897903917 1795807834 2693711751 3591615668 5387423502 8081135253 10774847004 16162270506 32324541012