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96599281128 = 23372836733019
BaseRepresentation
bin101100111110111000…
…1000000110111101000
3100020100011120220221220
41121331301000313220
53040313403444003
6112213241502040
76656551225140
oct1317561006750
9306304526856
1096599281128
1137a70859739
121687aaa1920
1391560c465c
144965547920
1527a58de353
hex167dc40de8

96599281128 has 128 divisors (see below), whose sum is σ = 277476633600. Its totient is φ = 27452307456.

The previous prime is 96599281099. The next prime is 96599281139. The reversal of 96599281128 is 82118299569.

It is a super-2 number, since 2×965992811282 (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31995603 + ... + 31998621.

It is an arithmetic number, because the mean of its divisors is an integer number (2167786200).

Almost surely, 296599281128 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 96599281128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138738316800).

96599281128 is an abundant number, since it is smaller than the sum of its proper divisors (180877352472).

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

96599281128 is a wasteful number, since it uses less digits than its factorization.

96599281128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3987 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 60.

The spelling of 96599281128 in words is "ninety-six billion, five hundred ninety-nine million, two hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 673 849 1132 1346 1698 1981 2019 2264 2692 3019 3396 3962 4038 4711 5384 5943 6038 6792 7924 8076 9057 9422 11886 12076 14133 15848 16152 18114 18844 21133 23772 24152 28266 36228 37688 42266 47544 56532 63399 72456 84532 113064 126798 169064 190459 253596 380918 507192 571377 761836 854377 1142754 1333213 1523672 1708754 2031787 2285508 2563131 2666426 3417508 3999639 4063574 4571016 5126262 5332852 5980639 6095361 6835016 7999278 8127148 10252524 10665704 11961278 12190722 14222509 15998556 16254296 17941917 20505048 23922556 24381444 28445018 31997112 35883834 42667527 47845112 48762888 56890036 71767668 85335054 113780072 143535336 170670108 341340216 574995721 1149991442 1724987163 2299982884 3449974326 4024970047 4599965768 6899948652 8049940094 12074910141 13799897304 16099880188 24149820282 32199760376 48299640564 96599281128