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5150339758096 = 2413219222972
BaseRepresentation
bin100101011110010100000…
…1010111111100000010000
3200020100221000220010202221
41022330220022333200100
51133340343434224341
614542011115150424
71041046135422601
oct112745012774020
920210830803687
105150339758096
111706279584a25
126b2206445414
132b48a0b51c00
1413b3c62d9da8
158de8b064ed1
hex4af282bf810

5150339758096 has 135 divisors (see below), whose sum is σ = 11409033650391. Its totient is φ = 2250990024192.

The previous prime is 5150339758049. The next prime is 5150339758099. The reversal of 5150339758096 is 6908579330515.

The square root of 5150339758096 is 2269436.

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

It can be written as a sum of positive squares in 4 ways, for example, as 858150260496 + 4292189497600 = 926364^2 + 2071760^2 .

It is not an unprimeable number, because it can be changed into a prime (5150339758099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2242201620 + ... + 2242203916.

Almost surely, 25150339758096 is an apocalyptic number.

5150339758096 is the 2269436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5150339758096

5150339758096 is an abundant number, since it is smaller than the sum of its proper divisors (6258693892295).

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

5150339758096 is an equidigital number, since it uses as much as digits as its factorization.

5150339758096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 61.

The spelling of 5150339758096 in words is "five trillion, one hundred fifty billion, three hundred thirty-nine million, seven hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 361 494 676 722 988 1352 1444 1976 2297 2704 2888 3211 3952 4594 4693 5776 6422 9188 9386 12844 18376 18772 25688 29861 36752 37544 43643 51376 59722 61009 75088 87286 119444 122018 174572 238888 244036 349144 388193 477776 488072 567359 698288 776386 829217 976144 1134718 1552772 1658434 2269436 3105544 3316868 4538872 5276209 6211088 6633736 7375667 9077744 10552418 10779821 13267472 14751334 21104836 21559642 29502668 42209672 43119284 59005336 68590717 84419344 86238568 100247971 118010672 137181434 140137673 172477136 200495942 274362868 280275346 400991884 548725736 560550692 801983768 891679321 1097451472 1121101384 1303223623 1603967536 1783358642 1904711449 2242202768 2606447246 3566717284 3809422898 5212894492 7133434568 7618845796 10425788984 14266869136 15237691592 16941907099 20851577968 24761248837 30475383184 33883814198 49522497674 67767628396 99044995348 135535256792 198089990696 271070513584 321896234881 396179981392 643792469762 1287584939524 2575169879048 5150339758096