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96109364768 = 2541199368111
BaseRepresentation
bin101100110000010010…
…0001000011000100000
3100012002000201121001112
41121200210020120200
53033312444133033
6112052501122452
76641452056434
oct1314044103040
9305060647045
1096109364768
113783a25a28a
12167629b9428
1390a8760211
14491a4589c4
1527778b8c48
hex1660908620

96109364768 has 48 divisors (see below), whose sum is σ = 194804870400. Its totient is φ = 46646899200.

The previous prime is 96109364749. The next prime is 96109364779. The reversal of 96109364768 is 86746390169.

It is a happy number.

It is a super-2 number, since 2×961093647682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77033 + ... + 445143.

It is an arithmetic number, because the mean of its divisors is an integer number (4058434800).

Almost surely, 296109364768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96109364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97402435200).

96109364768 is an abundant number, since it is smaller than the sum of its proper divisors (98695505632).

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

96109364768 is a wasteful number, since it uses less digits than its factorization.

96109364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368361 (or 368353 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The spelling of 96109364768 in words is "ninety-six billion, one hundred nine million, three hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 199 328 398 656 796 1312 1592 3184 6368 8159 16318 32636 65272 130544 261088 368111 736222 1472444 2944888 5889776 11779552 15092551 30185102 60370204 73254089 120740408 146508178 241480816 293016356 482961632 586032712 1172065424 2344130848 3003417649 6006835298 12013670596 24027341192 48054682384 96109364768