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6804142992 = 2433232812437
BaseRepresentation
bin1100101011000111…
…01111101110010000
3122120012012021111000
412111203233232100
5102413330033432
63043100222000
7330420155403
oct62543575620
918505167430
106804142992
112981841379
12139a83a900
1384586c61a
14487935d3a
1529c52c57c
hex1958efb90

6804142992 has 160 divisors (see below), whose sum is σ = 20460476160. Its totient is φ = 2160829440.

The previous prime is 6804142981. The next prime is 6804142993. The reversal of 6804142992 is 2992414086.

It is not an unprimeable number, because it can be changed into a prime (6804142993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2790798 + ... + 2793234.

It is an arithmetic number, because the mean of its divisors is an integer number (127877976).

Almost surely, 26804142992 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 6804142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10230238080).

6804142992 is an abundant number, since it is smaller than the sum of its proper divisors (13656333168).

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

6804142992 is a wasteful number, since it uses less digits than its factorization.

6804142992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6804142992 is about 82487.2292661112. The cubic root of 6804142992 is about 1894.9211535850.

The spelling of 6804142992 in words is "six billion, eight hundred four million, one hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 281 368 414 432 552 562 621 828 843 1104 1124 1242 1656 1686 2248 2437 2484 2529 3312 3372 4496 4874 4968 5058 6463 6744 7311 7587 9748 9936 10116 12926 13488 14622 15174 19389 19496 20232 21933 25852 29244 30348 38778 38992 40464 43866 51704 56051 58167 58488 60696 65799 77556 87732 103408 112102 116334 116976 121392 131598 155112 168153 174501 175464 224204 232668 263196 310224 336306 349002 350928 448408 465336 504459 526392 672612 684797 698004 896816 930672 1008918 1052784 1345224 1369594 1396008 1513377 2017836 2054391 2690448 2739188 2792016 3026754 4035672 4108782 5478376 6053508 6163173 8071344 8217564 10956752 12107016 12326346 15750331 16435128 18489519 24214032 24652692 31500662 32870256 36979038 47250993 49305384 63001324 73958076 94501986 98610768 126002648 141752979 147916152 189003972 252005296 283505958 295832304 378007944 425258937 567011916 756015888 850517874 1134023832 1701035748 2268047664 3402071496 6804142992