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79536972529 = 72402892
BaseRepresentation
bin100101000010011000…
…1011110001011110001
321121022001211211201101
41022010301132023301
52300342431110104
6100312213204401
75514000053200
oct1120461361361
9247261754641
1079536972529
1130805602753
12134b8930701
137667226571
143bc7489237
152107a0a5a4
hex1284c5e2f1

79536972529 has 9 divisors (see below), whose sum is σ = 92524897227. Its totient is φ = 68172855744.

The previous prime is 79536972511. The next prime is 79536972539. The reversal of 79536972529 is 92527963597.

The square root of 79536972529 is 282023.

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., 77271212529 + 2265760000 = 277977^2 + 47600^2 .

It is not a de Polignac number, because 79536972529 - 217 = 79536841457 is a prime.

It is a super-2 number, since 2×795369725292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79536972509) 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, 1954017 + ... + 1994305.

Almost surely, 279536972529 is an apocalyptic number.

79536972529 is the 282023-rd square number.

79536972529 is the 141012-nd centered octagonal number.

It is an amenable number.

79536972529 is a deficient number, since it is larger than the sum of its proper divisors (12987924698).

79536972529 is an frugal number, since it uses more digits than its factorization.

79536972529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80592 (or 40296 counting only the distinct ones).

The product of its digits is 64297800, while the sum is 64.

Multiplying 79536972529 by its sum of digits (64), we get a square (5090366241856 = 22561842).

The spelling of 79536972529 in words is "seventy-nine billion, five hundred thirty-six million, nine hundred seventy-two thousand, five hundred twenty-nine".

Divisors: 1 7 49 40289 282023 1974161 1623203521 11362424647 79536972529