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5023464444 = 2232538331721
BaseRepresentation
bin1001010110110101…
…11111101111111100
3110222002112102201200
410223122333233330
540242001330234
62150250135500
7235325512635
oct45332775774
913862472650
105023464444
112148684209
12b82421590
13620985b8b
1435924c88c
151e603dd99
hex12b6bfbfc

5023464444 has 72 divisors (see below), whose sum is σ = 13094080272. Its totient is φ = 1623048960.

The previous prime is 5023464401. The next prime is 5023464461. The reversal of 5023464444 is 4444643205.

5023464444 is a `hidden beast` number, since 5 + 0 + 2 + 3 + 4 + 644 + 4 + 4 = 666.

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 = 5023464399 and 5023464408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142504 + ... + 174224.

It is an arithmetic number, because the mean of its divisors is an integer number (181862226).

Almost surely, 25023464444 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 5023464444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547040136).

5023464444 is an abundant number, since it is smaller than the sum of its proper divisors (8070615828).

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

5023464444 is a wasteful number, since it uses less digits than its factorization.

5023464444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31867 (or 31862 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The square root of 5023464444 is about 70876.4025892962. The cubic root of 5023464444 is about 1712.6466821913.

The spelling of 5023464444 in words is "five billion, twenty-three million, four hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 83 106 159 166 212 249 318 332 477 498 636 747 954 996 1494 1908 2988 4399 8798 13197 17596 26394 31721 39591 52788 63442 79182 95163 126884 158364 190326 285489 380652 570978 1141956 1681213 2632843 3362426 5043639 5265686 6724852 7898529 10087278 10531372 15130917 15797058 20174556 23695587 30261834 31594116 47391174 60523668 94782348 139540679 279081358 418622037 558162716 837244074 1255866111 1674488148 2511732222 5023464444