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33401342209 = 297322816917
BaseRepresentation
bin11111000110111000…
…000000100100000001
310012012210111222201111
4133012320000210001
51021401220422314
623202214403321
72261500503304
oct370670004401
9105183458644
1033401342209
1113190206854
126582060541
1331c3c6ab21
14188c084b3b
15d07548ec4
hex7c6e00901

33401342209 has 16 divisors (see below), whose sum is σ = 35046864720. Its totient is φ = 31789255680.

The previous prime is 33401342153. The next prime is 33401342213. The reversal of 33401342209 is 90224310433.

It can be written as a sum of positive squares in 8 ways, for example, as 977937984 + 32423404225 = 31272^2 + 180065^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33401342209 is a prime.

It is a super-2 number, since 2×334013422092 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33401342269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4825419 + ... + 4832335.

It is an arithmetic number, because the mean of its divisors is an integer number (2190429045).

Almost surely, 233401342209 is an apocalyptic number.

It is an amenable number.

33401342209 is a deficient number, since it is larger than the sum of its proper divisors (1645522511).

33401342209 is a wasteful number, since it uses less digits than its factorization.

33401342209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 33401342209 in words is "thirty-three billion, four hundred one million, three hundred forty-two thousand, two hundred nine".

Divisors: 1 29 73 2117 2281 6917 66149 166513 200593 504941 4828877 14643289 15777677 457552633 1151770421 33401342209