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32146812468 = 223499218557
BaseRepresentation
bin11101111100000110…
…010110111000110100
310001222100220021110000
4131330012112320310
51011314040444333
622433521431300
72215425253221
oct357406267064
9101870807400
1032146812468
11126a7046011
126291a9b530
133054093534
1417ad5dc948
15c8233b713
hex77c196e34

32146812468 has 30 divisors (see below), whose sum is σ = 84038118626. Its totient is φ = 10715604048.

The previous prime is 32146812463. The next prime is 32146812479. The reversal of 32146812468 is 86421864123.

32146812468 is a `hidden beast` number, since 3 + 2 + 1 + 468 + 124 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28107193104 + 4039619364 = 167652^2 + 63558^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32146812463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49608955 + ... + 49609602.

Almost surely, 232146812468 is an apocalyptic number.

It is an amenable number.

32146812468 is an abundant number, since it is smaller than the sum of its proper divisors (51891306158).

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

32146812468 is a wasteful number, since it uses less digits than its factorization.

32146812468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99218573 (or 99218562 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 32146812468 in words is "thirty-two billion, one hundred forty-six million, eight hundred twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 99218557 198437114 297655671 396874228 595311342 892967013 1190622684 1785934026 2678901039 3571868052 5357802078 8036703117 10715604156 16073406234 32146812468