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96983995008 = 2733112764151
BaseRepresentation
bin101101001010010110…
…0100101001010000000
3100021022222111102012010
41122110230211022000
53042110400320013
6112315343332520
710002232233015
oct1322454451200
9307288442163
1096983995008
1138148a3399a
12169678b1140
1391b7a132c4
1449a068d70c
1527c95837c3
hex1694b25280

96983995008 has 128 divisors (see below), whose sum is σ = 268021923840. Its totient is φ = 31038336000.

The previous prime is 96983994983. The next prime is 96983995049. The reversal of 96983995008 is 80059938969.

96983995008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 96983995008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1479733 + ... + 1543883.

It is an arithmetic number, because the mean of its divisors is an integer number (2093921280).

Almost surely, 296983995008 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 96983995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134010961920).

96983995008 is an abundant number, since it is smaller than the sum of its proper divisors (171037928832).

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

96983995008 is a wasteful number, since it uses less digits than its factorization.

96983995008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64326 (or 64314 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 66.

The spelling of 96983995008 in words is "ninety-six billion, nine hundred eighty-three million, nine hundred ninety-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 127 128 186 192 248 254 372 381 384 496 508 744 762 992 1016 1488 1524 1984 2032 2976 3048 3937 3968 4064 5952 6096 7874 8128 11811 11904 12192 15748 16256 23622 24384 31496 47244 48768 62992 64151 94488 125984 128302 188976 192453 251968 256604 377952 384906 503936 513208 755904 769812 1026416 1511808 1539624 1988681 2052832 3079248 3977362 4105664 5966043 6158496 7954724 8147177 8211328 11932086 12316992 15909448 16294354 23864172 24441531 24633984 31818896 32588708 47728344 48883062 63637792 65177416 95456688 97766124 127275584 130354832 190913376 195532248 252562487 254551168 260709664 381826752 391064496 505124974 521419328 757687461 763653504 782128992 1010249948 1042838656 1515374922 1564257984 2020499896 3030749844 3128515968 4040999792 6061499688 8081999584 12122999376 16163999168 24245998752 32327998336 48491997504 96983995008