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95190760900 = 2252308532
BaseRepresentation
bin101100010100111001…
…1111011110111000100
3100002201000012200110001
41120221303323313010
53024422313322100
6111421404211044
76606626055154
oct1305163736704
9302630180401
1095190760900
1137408780634
1216547239a84
138c90351a31
144870458764
152721e14d6a
hex1629cfbdc4

95190760900 has 27 divisors (see below), whose sum is σ = 206570646471. Its totient is φ = 38075070240.

The previous prime is 95190760867. The next prime is 95190760909. The reversal of 95190760900 is 906709159.

The square root of 95190760900 is 308530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29965687236 + 65225073664 = 173106^2 + 255392^2 .

It is a super-2 number, since 2×951907609002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95190760909) 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, 3069874 + ... + 3100726.

Almost surely, 295190760900 is an apocalyptic number.

95190760900 is the 308530-th square number.

It is an amenable number.

95190760900 is an abundant number, since it is smaller than the sum of its proper divisors (111379885571).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95190760900 is an frugal number, since it uses more digits than its factorization.

95190760900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61720 (or 30860 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 46.

The spelling of 95190760900 in words is "ninety-five billion, one hundred ninety million, seven hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 30853 61706 123412 154265 308530 617060 771325 1542650 3085300 951907609 1903815218 3807630436 4759538045 9519076090 19038152180 23797690225 47595380450 95190760900