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846472240712 = 237231214992
BaseRepresentation
bin11000101000101011010…
…11010101111001001000
32222220220002212011122002
430110111223111321020
5102332033343200322
61444510341450132
7115104241221200
oct14242553257110
92886802764562
10846472240712
112a6a9456aaaa
12118075a10948
1361a8bbb0967
142cd8034d400
15170430e4c92
hexc515ad5e48

846472240712 has 108 divisors (see below), whose sum is σ = 1909011076515. Its totient is φ = 350837232480.

The previous prime is 846472240711. The next prime is 846472240741. The reversal of 846472240712 is 217042274648.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 423236120356 + 423236120356 = 650566^2 + 650566^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=650566.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (846472240711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 564690539 + ... + 564692037.

Almost surely, 2846472240712 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 846472240712

846472240712 is an abundant number, since it is smaller than the sum of its proper divisors (1062538835803).

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

846472240712 is an equidigital number, since it uses as much as digits as its factorization.

846472240712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 47.

The spelling of 846472240712 in words is "eight hundred forty-six billion, four hundred seventy-two million, two hundred forty thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 961 1499 1519 1736 1922 2998 3038 3844 5996 6076 6727 7688 10493 11992 12152 13454 20986 26908 41972 46469 47089 53816 73451 83944 92938 94178 146902 185876 188356 293804 325283 371752 376712 587608 650566 1301132 1440539 2247001 2276981 2602264 2881078 4494002 4553962 5762156 8988004 9107924 10083773 11524312 15729007 17976008 18215848 20167546 31458014 40335092 62916028 69657031 70586411 80670184 110103049 125832056 139314062 141172822 220206098 278628124 282345644 440412196 487599217 557256248 564691288 880824392 975198434 1950396868 2159367961 3413194519 3900793736 4318735922 6826389038 8637471844 13652778076 15115575727 17274943688 27305556152 30231151454 60462302908 105809030089 120924605816 211618060178 423236120356 846472240712