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6804148311 = 341947109863
BaseRepresentation
bin1100101011000111…
…10001000001010111
3122120012012112210000
412111203301001113
5102413330221221
63043100302343
7330420210042
oct62543610127
918505175700
106804148311
112981845374
12139a8419b3
13845871b7c
14487937c59
1529c52de26
hex1958f1057

6804148311 has 80 divisors (see below), whose sum is σ = 11039846400. Its totient is φ = 4162508352.

The previous prime is 6804148279. The next prime is 6804148313. The reversal of 6804148311 is 1138414086.

It is a happy number.

6804148311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6804148311 - 25 = 6804148279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6804148313) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7883866 + ... + 7884728.

It is an arithmetic number, because the mean of its divisors is an integer number (137998080).

Almost surely, 26804148311 is an apocalyptic number.

6804148311 is a deficient number, since it is larger than the sum of its proper divisors (4235698089).

6804148311 is a wasteful number, since it uses less digits than its factorization.

6804148311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6804148311 is about 82487.2615074594. The cubic root of 6804148311 is about 1894.9216473569.

The spelling of 6804148311 in words is "six billion, eight hundred four million, one hundred forty-eight thousand, three hundred eleven".

Divisors: 1 3 9 19 27 47 57 81 109 141 171 327 423 513 863 893 981 1269 1539 2071 2589 2679 2943 3807 5123 6213 7767 8037 8829 15369 16397 18639 23301 24111 40561 46107 49191 55917 69903 72333 94067 97337 121683 138321 147573 167751 282201 292011 365049 414963 442719 770659 846603 876033 1095147 1328157 1787273 2311977 2539809 2628099 3285441 4421149 5361819 6935931 7619427 7884297 13263447 16085457 20807793 39790341 48256371 62423379 84001831 119371023 144769113 252005493 358113069 756016479 2268049437 6804148311