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7943265625 = 56232312
BaseRepresentation
bin1110110010111010…
…01001110101011001
3202111120122200222011
413121131021311121
5112231434000000
63352111425521
7400561433551
oct73135116531
922446580864
107943265625
113406848039
1216582252a1
1399786a699
14554d3a161
153175402ba
hex1d9749d59

7943265625 has 63 divisors (see below), whose sum is σ = 10725038499. Its totient is φ = 5882250000.

The previous prime is 7943265613. The next prime is 7943265637. The reversal of 7943265625 is 5265623497.

The square root of 7943265625 is 89125.

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

It is an interprime number because it is at equal distance from previous prime (7943265613) and next prime (7943265637).

It can be written as a sum of positive squares in 3 ways, for example, as 6959063241 + 984202384 = 83421^2 + 31372^2 .

It is not a de Polignac number, because 7943265625 - 25 = 7943265593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 256234360 + ... + 256234390.

Almost surely, 27943265625 is an apocalyptic number.

7943265625 is the 89125-th square number.

7943265625 is the 44563-rd centered octagonal number.

It is an amenable number.

7943265625 is a deficient number, since it is larger than the sum of its proper divisors (2781772874).

7943265625 is an frugal number, since it uses more digits than its factorization.

7943265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

The cubic root of 7943265625 is about 1995.2609148221.

Multiplying 7943265625 by its sum of digits (49), we get a square (389220015625 = 6238752).

The spelling of 7943265625 in words is "seven billion, nine hundred forty-three million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 23 25 31 115 125 155 529 575 625 713 775 961 2645 2875 3125 3565 3875 4805 13225 14375 15625 16399 17825 19375 22103 24025 66125 71875 81995 89125 96875 110515 120125 330625 359375 409975 445625 484375 508369 552575 600625 1653125 2049875 2228125 2541845 2762875 3003125 8265625 10249375 11140625 12709225 13814375 15015625 51246875 63546125 69071875 256234375 317730625 345359375 1588653125 7943265625