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466664466664 = 231110153039901
BaseRepresentation
bin1101100101001110101…
…11101010100011101000
31122121112122112011022201
412302213113222203220
530121212100413124
6554214355025544
745500244342454
oct6624727524350
91577478464281
10466664466664
1116aa02a1a950
1276538b9b2b4
1335010a11c16
141882dbcd664
15c214288144
hex6ca75ea8e8

466664466664 has 64 divisors (see below), whose sum is σ = 964271018880. Its totient is φ = 209959200000.

The previous prime is 466664466617. The next prime is 466664466689.

466664466664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466664466596 and 466664466605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47128114 + ... + 47138014.

It is an arithmetic number, because the mean of its divisors is an integer number (15066734670).

Almost surely, 2466664466664 is an apocalyptic number.

466664466664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466664466664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482135509440).

466664466664 is an abundant number, since it is smaller than the sum of its proper divisors (497606552216).

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

466664466664 is a wasteful number, since it uses less digits than its factorization.

466664466664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15322 (or 15318 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 64.

The spelling of 466664466664 in words is "four hundred sixty-six billion, six hundred sixty-four million, four hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 5303 8888 9901 10606 19802 21212 39604 42424 58333 79208 108911 116666 217822 233332 435644 466664 535603 871288 1000001 1071206 2000002 2142412 4000004 4284824 5891633 8000008 11000011 11783266 22000022 23566532 44000044 47133064 52505003 88000088 105010006 210020012 420040024 577555033 1155110066 2310220132 4620440264 5303005303 10606010606 21212021212 42424042424 58333058333 116666116666 233332233332 466664466664