Search a number
-
+
468227722864 = 241115083176383
BaseRepresentation
bin1101101000001001000…
…11000000111001110000
31122202120121001210200111
412310010203000321300
530132412244112424
6555033441031104
745554055655636
oct6640443007160
91582517053614
10468227722864
11170635385420
12768b4625494
13351cc8512a5
141893b67b356
15c2a662a194
hex6d048c0e70

468227722864 has 40 divisors (see below), whose sum is σ = 989734367232. Its totient is φ = 212815465920.

The previous prime is 468227722847. The next prime is 468227722903.

468227722864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 468227722799 and 468227722808.

It is a congruent number.

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, 2566417 + ... + 2742799.

Almost surely, 2468227722864 is an apocalyptic number.

468227722864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468227722864 is an abundant number, since it is smaller than the sum of its proper divisors (521506644368).

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

468227722864 is a wasteful number, since it uses less digits than its factorization.

468227722864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191485 (or 191479 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 58.

The spelling of 468227722864 in words is "four hundred sixty-eight billion, two hundred twenty-seven million, seven hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 15083 30166 60332 120664 165913 176383 241328 331826 352766 663652 705532 1327304 1411064 1940213 2654608 2822128 3880426 7760852 15521704 31043408 2660384789 5320769578 10641539156 21283078312 29264232679 42566156624 58528465358 117056930716 234113861432 468227722864