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33133150420 = 2254140406281
BaseRepresentation
bin11110110110111000…
…111100000011010100
310011112002212102202021
4132312320330003110
51020324041303140
623115434222524
72252033063116
oct366670740324
9104462772667
1033133150420
1113062888347
126508284a44
133180529066
1418645d13b6
15cddc1eb4a
hex7b6e3c0d4

33133150420 has 24 divisors (see below), whose sum is σ = 71276681448. Its totient is φ = 12930009600.

The previous prime is 33133150417. The next prime is 33133150423. The reversal of 33133150420 is 2405133133.

It is an interprime number because it is at equal distance from previous prime (33133150417) and next prime (33133150423).

It can be written as a sum of positive squares in 4 ways, for example, as 4114709316 + 29018441104 = 64146^2 + 170348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33133150423) 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 7 ways as a sum of consecutive naturals, for example, 20202321 + ... + 20203960.

It is an arithmetic number, because the mean of its divisors is an integer number (2969861727).

Almost surely, 233133150420 is an apocalyptic number.

It is an amenable number.

33133150420 is an abundant number, since it is smaller than the sum of its proper divisors (38143531028).

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

33133150420 is a wasteful number, since it uses less digits than its factorization.

33133150420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40406331 (or 40406329 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 33133150420 its reverse (2405133133), we get a palindrome (35538283553).

The spelling of 33133150420 in words is "thirty-three billion, one hundred thirty-three million, one hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 40406281 80812562 161625124 202031405 404062810 808125620 1656657521 3313315042 6626630084 8283287605 16566575210 33133150420