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5023064024 = 23112315311621
BaseRepresentation
bin1001010110110010…
…11101111111011000
3110222001210002110022
410223121131333120
540241401022044
62150233410012
7235322224346
oct45331357730
913861702408
105023064024
112148430390
12b82269908
13620875844
14359186996
151e5eb03ee
hex12b65dfd8

5023064024 has 64 divisors (see below), whose sum is σ = 10734785280. Its totient is φ = 2181168000.

The previous prime is 5023064009. The next prime is 5023064027. The reversal of 5023064024 is 4204603205.

It is a junction number, because it is equal to n+sod(n) for n = 5023063984 and 5023064002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5023064027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097934 + ... + 3099554.

It is an arithmetic number, because the mean of its divisors is an integer number (167731020).

Almost surely, 25023064024 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 5023064024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367392640).

5023064024 is an abundant number, since it is smaller than the sum of its proper divisors (5711721256).

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

5023064024 is a wasteful number, since it uses less digits than its factorization.

5023064024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 5023064024 is about 70873.5777564531. The cubic root of 5023064024 is about 1712.6011759997.

Adding to 5023064024 its reverse (4204603205), we get a palindrome (9227667229).

The spelling of 5023064024 in words is "five billion, twenty-three million, sixty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1531 1621 2024 3062 3242 6124 6484 12248 12968 16841 17831 33682 35213 35662 37283 67364 70426 71324 74566 134728 140852 142648 149132 281704 298264 387343 410113 774686 820226 1549372 1640452 2481751 3098744 3280904 4963502 9927004 19854008 27299261 54598522 57080273 109197044 114160546 218394088 228321092 456642184 627883003 1255766006 2511532012 5023064024