Search a number
-
+
5129710884 = 22342321732
BaseRepresentation
bin1001100011100000…
…10010110100100100
3111020111110022110000
410301300102310210
541001201222014
62205003301300
7241055552214
oct46160226444
914214408400
105129710884
1121a2651791
12bb1b1a830
136399a58ac
143693c8244
15200529509
hex131c12d24

5129710884 has 135 divisors (see below), whose sum is σ = 14099974273. Its totient is φ = 1626105888.

The previous prime is 5129710819. The next prime is 5129710903. The reversal of 5129710884 is 4880179215.

The square root of 5129710884 is 71622.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4666256100 + 463454784 = 68310^2 + 21528^2 .

It is a super-2 number, since 2×51297108842 = 52627867506856122912, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 29651422 + ... + 29651594.

Almost surely, 25129710884 is an apocalyptic number.

5129710884 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5129710884 is the 71622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5129710884

5129710884 is an abundant number, since it is smaller than the sum of its proper divisors (8970263389).

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

5129710884 is a wasteful number, since it uses less digits than its factorization.

5129710884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The cubic root of 5129710884 is about 1724.6367235011.

The spelling of 5129710884 in words is "five billion, one hundred twenty-nine million, seven hundred ten thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 173 207 276 324 346 414 519 529 621 692 828 1038 1058 1242 1557 1587 1863 2076 2116 2484 3114 3174 3726 3979 4671 4761 6228 6348 7452 7958 9342 9522 11937 14013 14283 15916 18684 19044 23874 28026 28566 29929 35811 42849 47748 56052 57132 59858 71622 85698 89787 91517 107433 119716 143244 171396 179574 183034 214866 269361 274551 322299 359148 366068 429732 538722 549102 644598 688367 808083 823653 1077444 1098204 1289196 1376734 1616166 1647306 2065101 2424249 2470959 2753468 3232332 3294612 4130202 4848498 4941918 6195303 7412877 8260404 9696996 9883836 12390606 14825754 15832441 18585909 24781212 29651508 31664882 37171818 47497323 55757727 63329764 74343636 94994646 111515454 142491969 189989292 223030908 284983938 427475907 569967876 854951814 1282427721 1709903628 2564855442 5129710884