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96494824928 = 253124372973
BaseRepresentation
bin101100111011110001…
…0100010110111100000
3100020001220000222222202
41121313202202313200
53040110133344203
6112155030552332
76654142323125
oct1316742426740
9306056028882
1096494824928
1137a178a41a7
121684bb086a8
13913a580758
14495571674c
15279b659388
hex16778a2de0

96494824928 has 72 divisors (see below), whose sum is σ = 200867940504. Its totient is φ = 45604581120.

The previous prime is 96494824879. The next prime is 96494824961. The reversal of 96494824928 is 82942849469.

It is a super-2 number, since 2×964948249282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285850 + ... + 1358822.

It is an arithmetic number, because the mean of its divisors is an integer number (2789832507).

Almost surely, 296494824928 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 96494824928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100433970252).

96494824928 is an abundant number, since it is smaller than the sum of its proper divisors (104373115576).

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

96494824928 is a wasteful number, since it uses less digits than its factorization.

96494824928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73088 (or 73049 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 65.

The spelling of 96494824928 in words is "ninety-six billion, four hundred ninety-four million, eight hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 344 496 688 961 992 1333 1376 1922 2666 3844 5332 7688 10664 15376 21328 30752 41323 42656 72973 82646 145946 165292 291892 330584 583784 661168 1167568 1322336 2262163 2335136 3137839 4524326 6275678 9048652 12551356 18097304 25102712 36194608 50205424 70127053 72389216 97273009 100410848 140254106 194546018 280508212 389092036 561016424 778184072 1122032848 1556368144 2244065696 3015463279 3112736288 6030926558 12061853116 24123706232 48247412464 96494824928