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96398378208 = 25331110142927
BaseRepresentation
bin101100111000111001…
…0101000010011100000
3100012211011112222222000
41121301302220103200
53034410441100313
6112141303444000
76651561460266
oct1316162502340
9305734488860
1096398378208
113797840a370
1216823756600
1391235b23a2
1449469ac436
152792e57673
hex1671ca84e0

96398378208 has 96 divisors (see below), whose sum is σ = 306722142720. Its totient is φ = 29211626880.

The previous prime is 96398378179. The next prime is 96398378221. The reversal of 96398378208 is 80287389369.

96398378208 is a `hidden beast` number, since 9 + 6 + 398 + 37 + 8 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×963983782082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 5061960 + ... + 5080967.

It is an arithmetic number, because the mean of its divisors is an integer number (3195022320).

Almost surely, 296398378208 is an apocalyptic number.

It is an amenable number.

96398378208 is an abundant number, since it is smaller than the sum of its proper divisors (210323764512).

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

96398378208 is a wasteful number, since it uses less digits than its factorization.

96398378208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142957 (or 10142943 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 96398378208 in words is "ninety-six billion, three hundred ninety-eight million, three hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 10142927 20285854 30428781 40571708 60857562 81143416 91286343 111572197 121715124 162286832 182572686 223144394 243430248 273859029 324573664 334716591 365145372 446288788 486860496 547718058 669433182 730290744 892577576 973720992 1004149773 1095436116 1338866364 1460581488 1785155152 2008299546 2190872232 2677732728 2921162976 3012449319 3570310304 4016599092 4381744464 5355465456 6024898638 8033198184 8763488928 10710930912 12049797276 16066396368 24099594552 32132792736 48199189104 96398378208