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4655445564 = 22371131316097
BaseRepresentation
bin1000101010111110…
…00111011000111100
3110000110001010201210
410111133013120330
534013243224224
62045542204420
7223236430410
oct42537073074
913013033653
104655445564
111a79972180
12a9b123710
13592661223
14322410d40
151c3a96429
hex1157c763c

4655445564 has 96 divisors (see below), whose sum is σ = 13587227136. Its totient is φ = 1205268480.

The previous prime is 4655445521. The next prime is 4655445581.

It is a happy number.

4655445564 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281164 + ... + 297260.

It is an arithmetic number, because the mean of its divisors is an integer number (141533616).

Almost surely, 24655445564 is an apocalyptic number.

4655445564 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 4655445564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793613568).

4655445564 is an abundant number, since it is smaller than the sum of its proper divisors (8931781572).

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

4655445564 is a wasteful number, since it uses less digits than its factorization.

4655445564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16435 (or 16433 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 48.

The square root of 4655445564 is about 68230.8256142339. The cubic root of 4655445564 is about 1669.7588383279.

The spelling of 4655445564 in words is "four billion, six hundred fifty-five million, four hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 313 462 626 924 939 1252 1878 2191 3443 3756 4382 6573 6886 8764 10329 13146 13772 16097 20658 24101 26292 32194 41316 48202 48291 64388 72303 96404 96582 112679 144606 177067 193164 225358 289212 338037 354134 450716 531201 676074 708268 1062402 1239469 1352148 2124804 2478938 3718407 4957876 5038361 7436814 10076722 14873628 15115083 20153444 30230166 35268527 55421971 60460332 70537054 105805581 110843942 141074108 166265913 211611162 221687884 332531826 387953797 423222324 665063652 775907594 1163861391 1551815188 2327722782 4655445564