Search a number
-
+
84066666048 = 263348649691
BaseRepresentation
bin100111001001011000…
…0111000011001000000
322000222202021010002000
41032102300320121000
52334132031303143
6102341504224000
76034151604561
oct1162260703100
9260882233060
1084066666048
113271a494512
121436190b000
137c097c86a1
1440d6cc4168
1522c0511bd3
hex1392c38640

84066666048 has 56 divisors (see below), whose sum is σ = 247140435360. Its totient is φ = 28022221440.

The previous prime is 84066666001. The next prime is 84066666067.

84066666048 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 84066665985 and 84066666003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24323118 + ... + 24326573.

It is an arithmetic number, because the mean of its divisors is an integer number (4413222060).

Almost surely, 284066666048 is an apocalyptic number.

It is an amenable number.

84066666048 is an abundant number, since it is smaller than the sum of its proper divisors (163073769312).

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

84066666048 is a wasteful number, since it uses less digits than its factorization.

84066666048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48649712 (or 48649696 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 84066666048 in words is "eighty-four billion, sixty-six million, six hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 48649691 97299382 145949073 194598764 291898146 389197528 437847219 583796292 778395056 875694438 1167592584 1313541657 1556790112 1751388876 2335185168 2627083314 3113580224 3502777752 4670370336 5254166628 7005555504 9340740672 10508333256 14011111008 21016666512 28022222016 42033333024 84066666048