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9204288824029 = 131361352010741
BaseRepresentation
bin1000010111110000101001…
…0111011010001011011101
31012120220212201021100101011
42011330022113122023131
52201300340414332104
631324220353015221
71636662600060355
oct205741227321335
935526781240334
109204288824029
112a295760a42a2
121047a29854511
13519c648b7460
1423b6c0621b65
1510e658428904
hex85f0a5da2dd

9204288824029 has 8 divisors (see below), whose sum is σ = 9913039382232. Its totient is φ = 8495642314560.

The previous prime is 9204288823991. The next prime is 9204288824033.

9204288824029 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 24612903225 + 9179675920804 = 156885^2 + 3029798^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9204288824029 - 217 = 9204288692957 is a prime.

It is a super-2 number, since 2×92042888240292 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9204288825029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25828402 + ... + 26182339.

It is an arithmetic number, because the mean of its divisors is an integer number (1239129922779).

Almost surely, 29204288824029 is an apocalyptic number.

It is an amenable number.

9204288824029 is a deficient number, since it is larger than the sum of its proper divisors (708750558203).

9204288824029 is a wasteful number, since it uses less digits than its factorization.

9204288824029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52024367.

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 9204288824029 in words is "nine trillion, two hundred four billion, two hundred eighty-eight million, eight hundred twenty-four thousand, twenty-nine".

Divisors: 1 13 13613 176969 52010741 676139633 708022217233 9204288824029