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83331451332 = 22322314762537
BaseRepresentation
bin100110110011011110…
…0010000100111000100
321222002111211100002100
41031212330100213010
52331130322420312
6102140522112100
76010013435463
oct1154674204704
9258074740070
1083331451332
1132382482848
121419764b630
137b203a98ac
1440673c09da
15227abd55dc
hex1366f109c4

83331451332 has 18 divisors (see below), whose sum is σ = 210643390958. Its totient is φ = 27777150432.

The previous prime is 83331451331. The next prime is 83331451349. The reversal of 83331451332 is 23315413338.

83331451332 is a `hidden beast` number, since 8 + 3 + 3 + 314 + 5 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44780484996 + 38550966336 = 211614^2 + 196344^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2314762537 = 83331451332 / (8 + 3 + 3 + 3 + 1 + 4 + 5 + 1 + 3 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (83331451331) 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 5 ways as a sum of consecutive naturals, for example, 1157381233 + ... + 1157381304.

Almost surely, 283331451332 is an apocalyptic number.

It is an amenable number.

83331451332 is an abundant number, since it is smaller than the sum of its proper divisors (127311939626).

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

83331451332 is a wasteful number, since it uses less digits than its factorization.

83331451332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314762547 (or 2314762542 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 83331451332 in words is "eighty-three billion, three hundred thirty-one million, four hundred fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2314762537 4629525074 6944287611 9259050148 13888575222 20832862833 27777150444 41665725666 83331451332