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96915314268 = 223323383101869
BaseRepresentation
bin101101001000010011…
…0100101011001011100
3100021011012021001221000
41122100212211121130
53041440310024033
6112304451310300
710000436402433
oct1322046453134
9307135231830
1096915314268
1138113194053
12169488ab390
1391a6717106
1449954d211a
1527c3518a13
hex16909a565c

96915314268 has 96 divisors (see below), whose sum is σ = 262873497600. Its totient is φ = 30819552192.

The previous prime is 96915314239. The next prime is 96915314269. The reversal of 96915314268 is 86241351969.

96915314268 is a `hidden beast` number, since 9 + 6 + 9 + 1 + 531 + 42 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96915314269) 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 31 ways as a sum of consecutive naturals, for example, 900438 + ... + 1002306.

It is an arithmetic number, because the mean of its divisors is an integer number (2738265600).

Almost surely, 296915314268 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 96915314268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131436748800).

96915314268 is an abundant number, since it is smaller than the sum of its proper divisors (165958183332).

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

96915314268 is a wasteful number, since it uses less digits than its factorization.

96915314268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102288 (or 102280 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 96915314268 in words is "ninety-six billion, nine hundred fifteen million, three hundred fourteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 383 414 621 766 828 1149 1242 1532 2298 2484 3447 4596 6894 8809 10341 13788 17618 20682 26427 35236 41364 52854 79281 101869 105708 158562 203738 237843 305607 317124 407476 475686 611214 916821 951372 1222428 1833642 2342987 2750463 3667284 4685974 5500926 7028961 9371948 11001852 14057922 21086883 28115844 39015827 42173766 63260649 78031654 84347532 117047481 126521298 156063308 234094962 253042596 351142443 468189924 702284886 897364021 1053427329 1404569772 1794728042 2106854658 2692092063 3589456084 4213709316 5384184126 8076276189 10768368252 16152552378 24228828567 32305104756 48457657134 96915314268