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20423364444 = 223272109106219
BaseRepresentation
bin10011000001010100…
…111100111101011100
31221201100011102002100
4103001110330331130
5313311340130234
613214331325100
71322052506400
oct230124747534
957640142070
1020423364444
118730502a9a
123b5b8b0790
131c06309b42
14dba60d100
157e7ee7399
hex4c153cf5c

20423364444 has 108 divisors (see below), whose sum is σ = 60605945400. Its totient is φ = 5781658176.

The previous prime is 20423364407. The next prime is 20423364469. The reversal of 20423364444 is 44446332402.

20423364444 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 3 + 3 + 644 + 4 + 4 = 666.

It is a super-2 number, since 2×204233644442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20423364399 and 20423364408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139167 + ... + 245385.

Almost surely, 220423364444 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 20423364444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30302972700).

20423364444 is an abundant number, since it is smaller than the sum of its proper divisors (40182580956).

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

20423364444 is a wasteful number, since it uses less digits than its factorization.

20423364444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106352 (or 106340 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 20423364444 its reverse (44446332402), we get a palindrome (64869696846).

The spelling of 20423364444 in words is "twenty billion, four hundred twenty-three million, three hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 109 126 147 196 218 252 294 327 436 441 588 654 763 882 981 1308 1526 1764 1962 2289 3052 3924 4578 5341 6867 9156 10682 13734 16023 21364 27468 32046 48069 64092 96138 106219 192276 212438 318657 424876 637314 743533 955971 1274628 1487066 1911942 2230599 2974132 3823884 4461198 5204731 6691797 8922396 10409462 11577871 13383594 15614193 20818924 23155742 26767188 31228386 34733613 46311484 46842579 62456772 69467226 81045097 93685158 104200839 138934452 162090194 187370316 208401678 243135291 324180388 416803356 486270582 567315679 729405873 972541164 1134631358 1458811746 1701947037 2269262716 2917623492 3403894074 5105841111 6807788148 10211682222 20423364444