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96347539201 = 59252612
BaseRepresentation
bin101100110111011000…
…0101100011100000001
3100012200121220002221211
41121232300230130001
53034304432223301
6112132250050121
76650403366514
oct1315660543401
9305617802854
1096347539201
1137951746261
121680a719941
139115bc2134
14493dd36d7b
15278d764051
hex166ec2c701

96347539201 has 9 divisors (see below), whose sum is σ = 98026859203. Its totient is φ = 94696526920.

The previous prime is 96347539199. The next prime is 96347539213. The reversal of 96347539201 is 10293574369.

The square root of 96347539201 is 310399.

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., 71717375601 + 24630163600 = 267801^2 + 156940^2 .

It is not a de Polignac number, because 96347539201 - 21 = 96347539199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96347539901) 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, 18310911 + ... + 18316171.

Almost surely, 296347539201 is an apocalyptic number.

96347539201 is the 310399-th square number.

96347539201 is the 155200-th centered octagonal number.

It is an amenable number.

96347539201 is a deficient number, since it is larger than the sum of its proper divisors (1679320002).

96347539201 is an frugal number, since it uses more digits than its factorization.

96347539201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 96347539201 by its sum of digits (49), we get a square (4721029420849 = 21727932).

The spelling of 96347539201 in words is "ninety-six billion, three hundred forty-seven million, five hundred thirty-nine thousand, two hundred one".

Divisors: 1 59 3481 5261 310399 18313541 27678121 1633009139 96347539201