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412530534432 = 25324134936529
BaseRepresentation
bin1100000000011001011…
…11000110100000100000
31110102210221222110202200
412000030233012200200
523224330304100212
6513303001013200
741542614454242
oct6001457064040
91412727873680
10412530534432
11149a53806385
1267b4b784200
132cb94689263
1415d76444092
15aae6a146dc
hex600cbc6820

412530534432 has 72 divisors (see below), whose sum is σ = 1201746758940. Its totient is φ = 134156267520.

The previous prime is 412530534413. The next prime is 412530534443. The reversal of 412530534432 is 234435035214.

412530534432 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 305 + 344 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 290732326416 + 121798208016 = 539196^2 + 348996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17456457 + ... + 17480072.

Almost surely, 2412530534432 is an apocalyptic number.

It is an amenable number.

412530534432 is an abundant number, since it is smaller than the sum of its proper divisors (789216224508).

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

412530534432 is a wasteful number, since it uses less digits than its factorization.

412530534432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34936586 (or 34936575 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 412530534432 its reverse (234435035214), we get a palindrome (646965569646).

The spelling of 412530534432 in words is "four hundred twelve billion, five hundred thirty million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 34936529 69873058 104809587 139746116 209619174 279492232 314428761 419238348 558984464 628857522 838476696 1117968928 1257715044 1432397689 1676953392 2515430088 2864795378 3353906784 4297193067 5030860176 5729590756 8594386134 10061720352 11459181512 12891579201 17188772268 22918363024 25783158402 34377544536 45836726048 51566316804 68755089072 103132633608 137510178144 206265267216 412530534432