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96314041369 = 7213422935753
BaseRepresentation
bin101100110110011000…
…0111010010000011001
3100012121021212020120101
41121230300322100121
53034222343310434
6112125052055401
76646515562300
oct1315460722031
9305537766511
1096314041369
11379348468a7
12167bb464561
13910bc94030
1449396d7437
15278a848b14
hex166cc3a419

96314041369 has 24 divisors (see below), whose sum is σ = 120689057160. Its totient is φ = 76184365824.

The previous prime is 96314041367. The next prime is 96314041379.

96314041369 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 49891029769 + 46423011600 = 223363^2 + 215460^2 .

It is not a de Polignac number, because 96314041369 - 21 = 96314041367 is a prime.

It is a super-2 number, since 2×963140413692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96314041367) 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, 2675997 + ... + 2711749.

It is an arithmetic number, because the mean of its divisors is an integer number (5028710715).

Almost surely, 296314041369 is an apocalyptic number.

It is an amenable number.

96314041369 is a deficient number, since it is larger than the sum of its proper divisors (24375015791).

96314041369 is a wasteful number, since it uses less digits than its factorization.

96314041369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40009 (or 40002 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 96314041369 in words is "ninety-six billion, three hundred fourteen million, forty-one thousand, three hundred sixty-nine".

Divisors: 1 7 13 49 91 637 4229 29603 35753 54977 207221 250271 384839 464789 1751897 2693873 3253523 22774661 151199437 1058396059 1965592681 7408772413 13759148767 96314041369