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33875328852 = 22322932447633
BaseRepresentation
bin11111100011001000…
…000111111101010100
310020102211102000011100
4133203020013331110
51023334041010402
623321225510100
72306314354461
oct374310077524
9106384360140
1033875328852
1113403815a52
126694942330
13326b2156b1
1418d4dc8668
15d33e7471c
hex7e3207f54

33875328852 has 36 divisors (see below), whose sum is σ = 88582040820. Its totient is φ = 10902404352.

The previous prime is 33875328829. The next prime is 33875328859. The reversal of 33875328852 is 25882357833.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12894965136 + 20980363716 = 113556^2 + 144846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×338753288522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33875328859) 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 11 ways as a sum of consecutive naturals, for example, 16222773 + ... + 16224860.

It is an arithmetic number, because the mean of its divisors is an integer number (2460612245).

Almost surely, 233875328852 is an apocalyptic number.

It is an amenable number.

33875328852 is an abundant number, since it is smaller than the sum of its proper divisors (54706711968).

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

33875328852 is a wasteful number, since it uses less digits than its factorization.

33875328852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32447672 (or 32447667 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 33875328852 in words is "thirty-three billion, eight hundred seventy-five million, three hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 32447633 64895266 97342899 129790532 194685798 292028697 389371596 584057394 940981357 1168114788 1881962714 2822944071 3763925428 5645888142 8468832213 11291776284 16937664426 33875328852