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95220417721 = 11213161337529
BaseRepresentation
bin101100010101110010…
…1000100010010111001
3100002210002000101221211
41120223211010102321
53030002411331341
6111424344003121
76610436124202
oct1305345042271
9302702011854
1095220417721
1137423497200
12165551604a1
138c96536750
1448743785a9
152724822181
hex162b9444b9

95220417721 has 24 divisors (see below), whose sum is σ = 112787708040. Its totient is φ = 79853579520.

The previous prime is 95220417709. The next prime is 95220417737. The reversal of 95220417721 is 12771402259.

It can be written as a sum of positive squares in 4 ways, for example, as 220849321 + 94999568400 = 14861^2 + 308220^2 .

It is not a de Polignac number, because 95220417721 - 29 = 95220417209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95220417791) 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 23 ways as a sum of consecutive naturals, for example, 2518485 + ... + 2556013.

It is an arithmetic number, because the mean of its divisors is an integer number (4699487835).

Almost surely, 295220417721 is an apocalyptic number.

It is an amenable number.

95220417721 is a deficient number, since it is larger than the sum of its proper divisors (17567290319).

95220417721 is a wasteful number, since it uses less digits than its factorization.

95220417721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39177 (or 39166 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 95220417721 in words is "ninety-five billion, two hundred twenty million, four hundred seventeen thousand, seven hundred twenty-one".

Divisors: 1 11 13 121 143 1573 1613 17743 20969 37529 195173 230659 412819 487877 2537249 4541009 5366647 59033117 60534277 665877047 786945601 7324647517 8656401611 95220417721