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3230082716805 = 34572162765569
BaseRepresentation
bin101111000000001111111…
…011101101010010000101
3102102210102000111022110000
4233000033323231102011
5410410202133414210
610511513550351513
7452236314036600
oct57001773552205
912383360438400
103230082716805
1110359635382aa
124420181bb599
131a57983b6009
14b24a03d5337
155904dbd0ac0
hex2f00feed485

3230082716805 has 60 divisors (see below), whose sum is σ = 6735564817740. Its totient is φ = 1476609232896.

The previous prime is 3230082716779. The next prime is 3230082716807. The reversal of 3230082716805 is 5086172800323.

It can be written as a sum of positive squares in 2 ways, for example, as 1798329276324 + 1431753440481 = 1341018^2 + 1196559^2 .

It is not a de Polignac number, because 3230082716805 - 211 = 3230082714757 is a prime.

It is a super-3 number, since 3×32300827168053 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230082716807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81362940 + ... + 81402629.

It is an arithmetic number, because the mean of its divisors is an integer number (112259413629).

Almost surely, 23230082716805 is an apocalyptic number.

3230082716805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3230082716805 is an abundant number, since it is smaller than the sum of its proper divisors (3505482100935).

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

3230082716805 is a wasteful number, since it uses less digits than its factorization.

3230082716805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162765600 (or 162765584 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3230082716805 in words is "three trillion, two hundred thirty billion, eighty-two million, seven hundred sixteen thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3969 6615 19845 162765569 488296707 813827845 1139358983 1464890121 2441483535 3418076949 4394670363 5696794915 7324450605 7975512881 10254230847 13184011089 17090384745 21973351815 23926538643 30762692541 39877564405 51271154235 65920055445 71779615929 92288077623 119632693215 153813462705 215338847787 358898079645 461440388115 646016543361 1076694238935 3230082716805