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5131801024 = 26729834759
BaseRepresentation
bin1001100011110000…
…10001000111000000
3111020122101111120121
410301320101013000
541002220113044
62205120150024
7241112406010
oct46170210700
914218344517
105131801024
1121a384a079
12bb2768314
1363a25806c
143697adc40
152007dd984
hex131e111c0

5131801024 has 112 divisors (see below), whose sum is σ = 12187123200. Its totient is φ = 2097478656.

The previous prime is 5131801013. The next prime is 5131801027. The reversal of 5131801024 is 4201081315.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 5131801024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131801027) 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, 1075957 + ... + 1080715.

It is an arithmetic number, because the mean of its divisors is an integer number (108813600).

Almost surely, 25131801024 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 5131801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093561600).

5131801024 is an abundant number, since it is smaller than the sum of its proper divisors (7055322176).

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

5131801024 is a wasteful number, since it uses less digits than its factorization.

5131801024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 5131801024 is about 71636.5899802608. The cubic root of 5131801024 is about 1724.8709305095.

Adding to 5131801024 its reverse (4201081315), we get a palindrome (9332882339).

The spelling of 5131801024 in words is "five billion, one hundred thirty-one million, eight hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 83 112 116 166 203 224 232 332 406 448 464 581 664 812 928 1162 1328 1624 1856 2324 2407 2656 3248 4648 4759 4814 5312 6496 9296 9518 9628 12992 16849 18592 19036 19256 33313 33698 37184 38072 38512 66626 67396 76144 77024 133252 134792 138011 152288 154048 266504 269584 276022 304576 394997 533008 539168 552044 789994 966077 1066016 1078336 1104088 1579988 1932154 2132032 2208176 2764979 3159976 3864308 4416352 5529958 6319952 7728616 8832704 11059916 11454913 12639904 15457232 22119832 22909826 25279808 30914464 44239664 45819652 61828928 80184391 88479328 91639304 160368782 176958656 183278608 320737564 366557216 641475128 733114432 1282950256 2565900512 5131801024