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9512295961 = 72139332
BaseRepresentation
bin10001101101111101…
…00001111000011001
3220112221001200221211
420312332201320121
5123440121432321
64211521303121
7454503116200
oct106676417031
926487050854
109512295961
114041496823
121a15794aa1
13b8794bcbc
1466348c237
153aa1730e1
hex236fa1e19

9512295961 has 9 divisors (see below), whose sum is σ = 11066118111. Its totient is φ = 8152811352.

The previous prime is 9512295937. The next prime is 9512295971. The reversal of 9512295961 is 1695922159.

The square root of 9512295961 is 97531.

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., 9487734025 + 24561936 = 97405^2 + 4956^2 .

It is not a de Polignac number, because 9512295961 - 219 = 9511771673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9512295971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 675751 + ... + 689683.

It is an arithmetic number, because the mean of its divisors is an integer number (1229568679).

Almost surely, 29512295961 is an apocalyptic number.

9512295961 is the 97531-st square number.

9512295961 is the 48766-th centered octagonal number.

It is an amenable number.

9512295961 is a deficient number, since it is larger than the sum of its proper divisors (1553822150).

9512295961 is an frugal number, since it uses more digits than its factorization.

9512295961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27880 (or 13940 counting only the distinct ones).

The product of its digits is 437400, while the sum is 49.

The cubic root of 9512295961 is about 2118.8251441795.

Multiplying 9512295961 by its sum of digits (49), we get a square (466102502089 = 6827172).

9512295961 divided by its sum of digits (49) gives a square (194128489 = 139332).

The spelling of 9512295961 in words is "nine billion, five hundred twelve million, two hundred ninety-five thousand, nine hundred sixty-one".

Divisors: 1 7 49 13933 97531 682717 194128489 1358899423 9512295961