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95481309001 = 1373633715877
BaseRepresentation
bin101100011101100100…
…0010010011101001001
3100010110020221001111211
41120323020102131021
53031021203342001
6111510303453121
76620054510161
oct1307310223511
9303406831454
1095481309001
1137547789731
12166085b71a1
1390085c05a0
14489ac8b5a1
15273c6a8351
hex163b212749

95481309001 has 16 divisors (see below), whose sum is σ = 104257615504. Its totient is φ = 86910050304.

The previous prime is 95481308977. The next prime is 95481309019. The reversal of 95481309001 is 10090318459.

It can be written as a sum of positive squares in 8 ways, for example, as 2043492025 + 93437816976 = 45205^2 + 305676^2 .

It is a 9-Lehmer number, since φ(95481309001) divides (95481309001-1)9.

It is a cyclic number.

It is not a de Polignac number, because 95481309001 - 27 = 95481308873 is a prime.

It is the 309001-st Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95481309041) by changing a digit.

It is a nontrivial repunit in base 309000.

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 15 ways as a sum of consecutive naturals, for example, 6005875 + ... + 6021751.

It is an arithmetic number, because the mean of its divisors is an integer number (6516100969).

Almost surely, 295481309001 is an apocalyptic number.

It is an amenable number.

95481309001 is a deficient number, since it is larger than the sum of its proper divisors (8776306503).

95481309001 is a wasteful number, since it uses less digits than its factorization.

95481309001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22300.

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 95481309001 in words is "ninety-five billion, four hundred eighty-one million, three hundred nine thousand, one".

Divisors: 1 13 73 949 6337 15877 82381 206401 462601 1159021 6013813 15067273 100612549 1307963137 7344716077 95481309001