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8007547317121 = 112173214872
BaseRepresentation
bin111010010000110011100…
…0000110110101110000001
31001100111212201222211121001
41310201213000312232001
52022143424103121441
625010341053132001
71454345326104232
oct164414700665601
931314781884531
108007547317121
112607a88782300
12a93abb48a001
1346115440b391
141d97d2b8b089
15dd464842731
hex74867036b81

8007547317121 has 27 divisors (see below), whose sum is σ = 8858812618243. Its totient is φ = 7232642735120.

The previous prime is 8007547317103. The next prime is 8007547317151. The reversal of 8007547317121 is 1217137457008.

The square root of 8007547317121 is 2829761.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7284088199025 + 723459118096 = 2698905^2 + 850564^2 .

It is not a de Polignac number, because 8007547317121 - 29 = 8007547316609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8007547317151) 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 26 ways as a sum of consecutive naturals, for example, 5385034440 + ... + 5385035926.

Almost surely, 28007547317121 is an apocalyptic number.

8007547317121 is the 2829761-st square number.

8007547317121 is the 1414881-st centered octagonal number.

It is an amenable number.

8007547317121 is a deficient number, since it is larger than the sum of its proper divisors (851265301122).

8007547317121 is an frugal number, since it uses more digits than its factorization.

8007547317121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 8007547317121 in words is "eight trillion, seven billion, five hundred forty-seven million, three hundred seventeen thousand, one hundred twenty-one".

Divisors: 1 11 121 173 1487 1903 16357 20933 29929 179927 257251 329219 2211169 2829761 3621409 24322859 31127371 44504423 267551449 382532237 489548653 4207854607 5385035183 46286400677 66178077001 727958847011 8007547317121