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5128412016 = 2437132335039
BaseRepresentation
bin1001100011010110…
…10101101101110000
3111020102000022201210
410301223111231300
541000333141031
62204515400120
7241041532350
oct46153255560
914212008653
105128412016
1121a1944942
12bb15b3040
1363963c630
1436916ab60
1520036e746
hex131ad5b70

5128412016 has 160 divisors (see below), whose sum is σ = 16378951680. Its totient is φ = 1346476032.

The previous prime is 5128411969. The next prime is 5128412017. The reversal of 5128412016 is 6102148215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128412017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015225 + ... + 1020263.

It is an arithmetic number, because the mean of its divisors is an integer number (102368448).

Almost surely, 25128412016 is an apocalyptic number.

5128412016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128412016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

5128412016 is an abundant number, since it is smaller than the sum of its proper divisors (11250539664).

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

5128412016 is a wasteful number, since it uses less digits than its factorization.

5128412016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5128412016 is about 71612.9319047894. The cubic root of 5128412016 is about 1724.4911490497.

The spelling of 5128412016 in words is "five billion, one hundred twenty-eight million, four hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 233 273 312 336 364 466 546 624 699 728 932 1092 1398 1456 1631 1864 2184 2796 3029 3262 3728 4368 4893 5039 5592 6058 6524 9087 9786 10078 11184 12116 13048 15117 18174 19572 20156 21203 24232 26096 30234 35273 36348 39144 40312 42406 48464 60468 63609 65507 70546 72696 78288 80624 84812 105819 120936 127218 131014 141092 145392 169624 196521 211638 241872 254436 262028 282184 339248 393042 423276 458549 508872 524056 564368 786084 846552 917098 1017744 1048112 1174087 1375647 1572168 1693104 1834196 2348174 2751294 3144336 3522261 3668392 4696348 5502588 7044522 7336784 8218609 9392696 11005176 14089044 15263131 16437218 18785392 22010352 24655827 28178088 30526262 32874436 45789393 49311654 56356176 61052524 65748872 91578786 98623308 106841917 122105048 131497744 183157572 197246616 213683834 244210096 320525751 366315144 394493232 427367668 641051502 732630288 854735336 1282103004 1709470672 2564206008 5128412016