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6806553768 = 233471978977
BaseRepresentation
bin1100101011011001…
…11100010010101000
3122120100201202110000
412111230330102220
5102414434210033
63043224023000
7330446516040
oct62554742250
918510652400
106806553768
112983138653
12139b601a60
13846204a11
14487da2720
1529c856a13
hex195b3c4a8

6806553768 has 160 divisors (see below), whose sum is σ = 22935211200. Its totient is φ = 1842352128.

The previous prime is 6806553751. The next prime is 6806553827. The reversal of 6806553768 is 8673556086.

6806553768 is a `hidden beast` number, since 6 + 80 + 6 + 553 + 7 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46696 + ... + 125672.

It is an arithmetic number, because the mean of its divisors is an integer number (143345070).

Almost surely, 26806553768 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 6806553768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467605600).

6806553768 is an abundant number, since it is smaller than the sum of its proper divisors (16128657432).

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

6806553768 is a wasteful number, since it uses less digits than its factorization.

6806553768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79021 (or 79008 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 6806553768 is about 82501.8409976408. The cubic root of 6806553768 is about 1895.1449236727.

The spelling of 6806553768 in words is "six billion, eight hundred six million, five hundred fifty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 9576 10773 12312 14364 21546 28728 43092 78977 86184 157954 236931 315908 473862 552839 631816 710793 947724 1105678 1421586 1500563 1658517 1895448 2132379 2211356 2843172 3001126 3317034 4264758 4422712 4501689 4975551 5686344 6002252 6397137 6634068 8529516 9003378 9951102 10503941 12004504 12794274 13268136 13505067 14926653 17059032 18006756 19902204 21007882 25588548 27010134 29853306 31511823 36013512 39804408 40515201 42015764 44779959 51177096 54020268 59706612 63023646 81030402 84031528 89559918 94535469 108040536 119413224 121545603 126047292 162060804 179119836 189070938 243091206 252094584 283606407 324121608 358239672 378141876 486182412 567212814 756283752 850819221 972364824 1134425628 1701638442 2268851256 3403276884 6806553768