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5144756844 = 2231924371389
BaseRepresentation
bin1001100101010011…
…01100001001101100
3111021112202201121210
410302221230021230
541014024204334
62210301554420
7241330466043
oct46251541154
914245681553
105144756844
112200098a67
12bb6b75a10
1363cb43126
1436b3c355a
152019ec5e9
hex132a6c26c

5144756844 has 144 divisors (see below), whose sum is σ = 13180527360. Its totient is φ = 1560504960.

The previous prime is 5144756839. The next prime is 5144756893. The reversal of 5144756844 is 4486574415.

It is a junction number, because it is equal to n+sod(n) for n = 5144756793 and 5144756802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13225402 + ... + 13225790.

It is an arithmetic number, because the mean of its divisors is an integer number (91531440).

Almost surely, 25144756844 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 5144756844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590263680).

5144756844 is an abundant number, since it is smaller than the sum of its proper divisors (8035770516).

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

5144756844 is a wasteful number, since it uses less digits than its factorization.

5144756844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The square root of 5144756844 is about 71726.9603705608. The cubic root of 5144756844 is about 1726.3212554912.

The spelling of 5144756844 in words is "five billion, one hundred forty-four million, seven hundred fifty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 43 57 71 76 86 114 129 142 172 213 228 258 284 361 389 426 516 722 778 817 852 1083 1167 1349 1444 1556 1634 2166 2334 2451 2698 3053 3268 4047 4332 4668 4902 5396 6106 7391 8094 9159 9804 12212 14782 15523 16188 16727 18318 22173 25631 27619 29564 31046 33454 36636 44346 46569 50181 51262 55238 58007 62092 66908 76893 82857 88692 93138 100362 102524 110476 116014 140429 153786 165714 174021 186276 200724 232028 280858 307572 317813 331428 348042 421287 524761 561716 635626 696084 842574 953439 1049522 1102133 1187617 1271252 1574283 1685148 1906878 2099044 2204266 2375234 3148566 3306399 3562851 3813756 4408532 4750468 6038447 6297132 6612798 7125702 9970459 12076894 13225596 14251404 18115341 19940918 22564723 24153788 29911377 36230682 39881836 45129446 59822754 67694169 72461364 90258892 119645508 135388338 270776676 428729737 857459474 1286189211 1714918948 2572378422 5144756844