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34242609567 = 3174759242129
BaseRepresentation
bin11111111001000001…
…001100000110011111
310021101102111210120210
4133321001030012133
51030112102001232
623421505543503
72321364243645
oct377101140637
9107342453523
1034242609567
1113582073431
126777944b93
1332c933c36a
14192bab3195
15d563235cc
hex7f904c19f

34242609567 has 32 divisors (see below), whose sum is σ = 50208076800. Its totient is φ = 20671920128.

The previous prime is 34242609547. The next prime is 34242609581. The reversal of 34242609567 is 76590624243.

It is a cyclic number.

It is not a de Polignac number, because 34242609567 - 26 = 34242609503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242609547) 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 31 ways as a sum of consecutive naturals, for example, 20359 + ... + 262487.

It is an arithmetic number, because the mean of its divisors is an integer number (1569002400).

Almost surely, 234242609567 is an apocalyptic number.

34242609567 is a deficient number, since it is larger than the sum of its proper divisors (15965467233).

34242609567 is a wasteful number, since it uses less digits than its factorization.

34242609567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242255.

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 34242609567 in words is "thirty-four billion, two hundred forty-two million, six hundred nine thousand, five hundred sixty-seven".

Divisors: 1 3 17 47 51 59 141 177 799 1003 2397 2773 3009 8319 47141 141423 242129 726387 4116193 11380063 12348579 14285611 34140189 42856833 193461071 242855387 580383213 671423717 728566161 2014271151 11414203189 34242609567