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6795638856 = 23372331667
BaseRepresentation
bin1100101010000110…
…10011100001001000
3122112121012020000000
412111003103201020
5102404140420411
63042154043000
7330254656116
oct62503234110
918477166000
106795638856
112977a63066
121397a19460
13843b828a6
14486760ab6
1529b8ec956
hex1950d3848

6795638856 has 128 divisors (see below), whose sum is σ = 19203350400. Its totient is φ = 2254137984.

The previous prime is 6795638807. The next prime is 6795638869. The reversal of 6795638856 is 6588365976.

6795638856 is a `hidden beast` number, since 67 + 9 + 563 + 8 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×67956388562 = 92361414922353977472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6795638793 and 6795638802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4075735 + ... + 4077401.

It is an arithmetic number, because the mean of its divisors is an integer number (150026175).

Almost surely, 26795638856 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 6795638856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601675200).

6795638856 is an abundant number, since it is smaller than the sum of its proper divisors (12407711544).

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

6795638856 is a wasteful number, since it uses less digits than its factorization.

6795638856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1905 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 6795638856 is about 82435.6649515245. The cubic root of 6795638856 is about 1894.1313707765.

The spelling of 6795638856 in words is "six billion, seven hundred ninety-five million, six hundred thirty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 233 243 324 466 486 648 699 729 932 972 1398 1458 1667 1864 1944 2097 2187 2796 2916 3334 4194 4374 5001 5592 5832 6291 6668 8388 8748 10002 12582 13336 15003 16776 17496 18873 20004 25164 30006 37746 40008 45009 50328 56619 60012 75492 90018 113238 120024 135027 150984 169857 180036 226476 270054 339714 360072 388411 405081 452952 509571 540108 679428 776822 810162 1019142 1080216 1165233 1215243 1358856 1553644 1620324 2038284 2330466 2430486 3107288 3240648 3495699 3645729 4076568 4660932 4860972 6991398 7291458 9321864 9721944 10487097 13982796 14582916 20974194 27965592 29165832 31461291 41948388 62922582 83896776 94383873 125845164 188767746 251690328 283151619 377535492 566303238 755070984 849454857 1132606476 1698909714 2265212952 3397819428 6795638856