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42846828661845 = 32513389325757809
BaseRepresentation
bin10011011111000000011100…
…00000001000110001010101
312121201010011011022002210100
421233200032000020301111
521104000301114134340
6231043321130244313
712011403233312535
oct1157401600106125
9177633134262710
1042846828661845
111271a26884637a
124980004286699
131aba591803560
14a81b247774c5
154e4827245830
hex26f80e008c55

42846828661845 has 96 divisors (see below), whose sum is σ = 80212360082400. Its totient is φ = 21032773926912.

The previous prime is 42846828661837. The next prime is 42846828661877. The reversal of 42846828661845 is 54816682864824.

It is a happy number.

42846828661845 is a `hidden beast` number, since 4 + 2 + 8 + 468 + 2 + 86 + 6 + 1 + 84 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 14538374178084 + 28308454483761 = 3812922^2 + 5320569^2 .

It is not a de Polignac number, because 42846828661845 - 23 = 42846828661837 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741150301 + ... + 741208109.

It is an arithmetic number, because the mean of its divisors is an integer number (835545417525).

Almost surely, 242846828661845 is an apocalyptic number.

42846828661845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42846828661845 is a deficient number, since it is larger than the sum of its proper divisors (37365531420555).

42846828661845 is a wasteful number, since it uses less digits than its factorization.

42846828661845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61479 (or 61476 counting only the distinct ones).

The product of its digits is 1132462080, while the sum is 72.

The spelling of 42846828661845 in words is "forty-two trillion, eight hundred forty-six billion, eight hundred twenty-eight million, six hundred sixty-one thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 389 585 1167 1945 3257 3501 5057 5835 9771 15171 16285 17505 25285 29313 42341 45513 48855 57809 75855 127023 146565 173427 211705 227565 289045 381069 520281 635115 751517 867135 1266973 1905345 2254551 2601405 3757585 3800919 6334865 6763653 11272755 11402757 16470649 19004595 22487701 33818265 49411947 57013785 67463103 82353245 112438505 148235841 188283913 202389309 247059735 292340113 337315515 564851739 741179205 877020339 941419565 1011946545 1461700565 1694555217 2447690869 2631061017 2824258695 4385101695 7343072607 8472776085 12238454345 13155305085 22029217821 36715363035 73242442157 110146089105 219727326471 366212210785 659181979413 952151748041 1098636632355 2856455244123 3295909897065 4760758740205 8569365732369 14282276220615 42846828661845