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96192381168 = 24331317128273
BaseRepresentation
bin101100110010110000…
…0110100000011110000
3100012021210221021011000
41121211200310003300
53034000222144133
6112105024322000
76643510514652
oct1314540640360
9305253837130
1096192381168
1137882100784
1216786773300
1390bca08550
1449274a86d2
15277ed16413
hex16658340f0

96192381168 has 80 divisors (see below), whose sum is σ = 297346836640. Its totient is φ = 29597654016.

The previous prime is 96192381167. The next prime is 96192381247. The reversal of 96192381168 is 86118329169.

96192381168 is a `hidden beast` number, since 9 + 619 + 2 + 3 + 8 + 1 + 16 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96192381161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8558521 + ... + 8569752.

It is an arithmetic number, because the mean of its divisors is an integer number (3716835458).

Almost surely, 296192381168 is an apocalyptic number.

It is an amenable number.

96192381168 is an abundant number, since it is smaller than the sum of its proper divisors (201154455472).

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

96192381168 is a wasteful number, since it uses less digits than its factorization.

96192381168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128303 (or 17128291 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 96192381168 in words is "ninety-six billion, one hundred ninety-two million, three hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 17128273 34256546 51384819 68513092 102769638 137026184 154154457 205539276 222667549 274052368 308308914 411078552 445335098 462463371 616617828 668002647 822157104 890670196 924926742 1233235656 1336005294 1781340392 1849853484 2004007941 2466471312 2672010588 3562680784 3699706968 4008015882 5344021176 6012023823 7399413936 8016031764 10688042352 12024047646 16032063528 24048095292 32064127056 48096190584 96192381168