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33444370341 = 34757754493
BaseRepresentation
bin11111001001011100…
…001001011110100101
310012022210111001020000
4133021130021132211
51021443224322331
623210352531513
72262532312614
oct371134113645
9105283431200
1033444370341
1113202525498
126594550b99
1331ccb54a65
141893a8587b
15d0b1e80e6
hex7c97097a5

33444370341 has 20 divisors (see below), whose sum is σ = 49967619372. Its totient is φ = 22292895168.

The previous prime is 33444370303. The next prime is 33444370381. The reversal of 33444370341 is 14307344433.

It can be written as a sum of positive squares in 2 ways, for example, as 2940350625 + 30504019716 = 54225^2 + 174654^2 .

It is not a de Polignac number, because 33444370341 - 218 = 33444108197 is a prime.

It is a super-2 number, since 2×334443703412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33444370296 and 33444370305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33444370381) 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 19 ways as a sum of consecutive naturals, for example, 586491 + ... + 640983.

Almost surely, 233444370341 is an apocalyptic number.

It is an amenable number.

33444370341 is a deficient number, since it is larger than the sum of its proper divisors (16523249031).

33444370341 is an equidigital number, since it uses as much as digits as its factorization.

33444370341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62082 (or 62073 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 33444370341 in words is "thirty-three billion, four hundred forty-four million, three hundred seventy thousand, three hundred forty-one".

Divisors: 1 3 9 27 81 7577 22731 54493 68193 163479 204579 490437 613737 1471311 4413933 412893461 1238680383 3716041149 11148123447 33444370341