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5060105344 = 27721674831
BaseRepresentation
bin1001011011001101…
…10001010010000000
3111001122110222121001
410231212301102000
540330341332334
62154035341344
7236252120500
oct45546612200
914048428531
105060105344
112167330048
12b92751854
13628444798
14360069a00
151e937a714
hex12d9b1480

5060105344 has 96 divisors (see below), whose sum is σ = 11799164160. Its totient is φ = 2155184640.

The previous prime is 5060105341. The next prime is 5060105357. The reversal of 5060105344 is 4435010605.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5060105341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1045009 + ... + 1049839.

It is an arithmetic number, because the mean of its divisors is an integer number (122907960).

Almost surely, 25060105344 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 5060105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899582080).

5060105344 is an abundant number, since it is smaller than the sum of its proper divisors (6739058816).

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

5060105344 is a wasteful number, since it uses less digits than its factorization.

5060105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5060105344 is about 71134.4174362875. The cubic root of 5060105344 is about 1716.8005856418.

Adding to 5060105344 its reverse (4435010605), we get a palindrome (9495115949).

The spelling of 5060105344 in words is "five billion, sixty million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 167 196 224 334 392 448 668 784 896 1169 1336 1568 2338 2672 3136 4676 4831 5344 6272 8183 9352 9662 10688 16366 18704 19324 21376 32732 33817 37408 38648 65464 67634 74816 77296 130928 135268 149632 154592 236719 261856 270536 309184 473438 523712 541072 618368 806777 946876 1047424 1082144 1613554 1893752 2164288 3227108 3787504 4328576 5647439 6454216 7575008 11294878 12908432 15150016 22589756 25816864 30300032 39532073 45179512 51633728 79064146 90359024 103267456 158128292 180718048 316256584 361436096 632513168 722872192 1265026336 2530052672 5060105344