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96235008968 = 2371931294117
BaseRepresentation
bin101100110100000001…
…1011011001111001000
3100012101210010222111102
41121220003123033020
53034042130241333
6112113150120532
76644536036160
oct1315003331710
9305353128442
1096235008968
11378a417666a
1216798ab0148
1390c87b21b7
14492d0035a0
152783936ae8
hex16680db3c8

96235008968 has 96 divisors (see below), whose sum is σ = 224302017600. Its totient is φ = 37812044160.

The previous prime is 96235008967. The next prime is 96235008983. The reversal of 96235008968 is 86980053269.

It is a super-2 number, since 2×962350089682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (96235008967) 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, 975446 + ... + 1069562.

It is an arithmetic number, because the mean of its divisors is an integer number (2336479350).

Almost surely, 296235008968 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 96235008968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112151008800).

96235008968 is an abundant number, since it is smaller than the sum of its proper divisors (128067008632).

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

96235008968 is a wasteful number, since it uses less digits than its factorization.

96235008968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94211 (or 94176 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The spelling of 96235008968 in words is "ninety-six billion, two hundred thirty-five million, eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 961 1064 1178 1736 1922 2356 3844 4123 4712 6727 7688 8246 13454 16492 18259 26908 32984 36518 53816 73036 94117 127813 146072 188234 255626 376468 511252 658819 752936 1022504 1317638 1788223 2635276 2917627 3576446 5270552 5835254 7152892 11670508 12517561 14305784 20423389 23341016 25035122 40846778 50070244 55434913 81693556 90446437 100140488 110869826 163387112 180892874 221739652 361785748 388044391 443479304 633125059 723571496 776088782 1266250118 1552177564 1718482303 2532500236 3104355128 3436964606 5065000472 6873929212 12029376121 13747858424 24058752242 48117504484 96235008968