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7506316321 = 72123772
BaseRepresentation
bin1101111110110100…
…10100110000100001
3201101010110101012121
412333122110300201
5110333104110241
63240502224241
7354004431100
oct67732246041
921333411177
107506316321
113202135609
121555a25081
1392818ccba
14512cb8037
152ddecdad1
hex1bf694c21

7506316321 has 9 divisors (see below), whose sum is σ = 8732542899. Its totient is φ = 6433465584.

The previous prime is 7506316319. The next prime is 7506316333. The reversal of 7506316321 is 1236136057.

The square root of 7506316321 is 86639.

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., 858197025 + 6648119296 = 29295^2 + 81536^2 .

It is not a de Polignac number, because 7506316321 - 21 = 7506316319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7506316361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 600285 + ... + 612661.

Almost surely, 27506316321 is an apocalyptic number.

7506316321 is the 86639-th square number.

7506316321 is the 43320-th centered octagonal number.

It is an amenable number.

7506316321 is a deficient number, since it is larger than the sum of its proper divisors (1226226578).

7506316321 is an frugal number, since it uses more digits than its factorization.

7506316321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24768 (or 12384 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The cubic root of 7506316321 is about 1957.9831677464.

The spelling of 7506316321 in words is "seven billion, five hundred six million, three hundred sixteen thousand, three hundred twenty-one".

Divisors: 1 7 49 12377 86639 606473 153190129 1072330903 7506316321