Search a number
-
+
4668224228664 = 233317213869887
BaseRepresentation
bin100001111101110011111…
…0110001100110100111000
3121112021111120110122222020
41003323213312030310320
51102441010400304124
613532315210154440
7661160643143643
oct103734766146470
917467446418866
104668224228664
11153a867970a17
12634896a22a20
1327b29a0145c9
14121d2c42ca5a
15816705b9379
hex43ee7d8cd38

4668224228664 has 64 divisors (see below), whose sum is σ = 12048714301440. Its totient is φ = 1505668279680.

The previous prime is 4668224228641. The next prime is 4668224228677.

4668224228664 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4668224228598 and 4668224228607.

It is a congruent number.

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, 4931529 + ... + 5801415.

It is an arithmetic number, because the mean of its divisors is an integer number (188261160960).

Almost surely, 24668224228664 is an apocalyptic number.

It is an amenable number.

4668224228664 is an abundant number, since it is smaller than the sum of its proper divisors (7380490072776).

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

4668224228664 is a wasteful number, since it uses less digits than its factorization.

4668224228664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877140 (or 877136 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 60.

The spelling of 4668224228664 in words is "four trillion, six hundred sixty-eight billion, two hundred twenty-four million, two hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 7213 14426 21639 28852 43278 57704 86556 173112 223603 447206 670809 869887 894412 1341618 1739774 1788824 2609661 2683236 3479548 5219322 5366472 6959096 10438644 20877288 26966497 53932994 80899491 107865988 161798982 215731976 323597964 647195928 6274494931 12548989862 18823484793 25097979724 37646969586 50195959448 75293939172 150587878344 194509342861 389018685722 583528028583 778037371444 1167056057166 1556074742888 2334112114332 4668224228664