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13016071744 = 2613210972
BaseRepresentation
bin11000001111101000…
…10111111001000000
31020121010000221202021
430013310113321000
5203124103243434
65551323331224
7640356533014
oct140764277100
936533027667
1013016071744
11557a262395
122633080b14
1312c580b100
148b6950544
15512a78cb4
hex307d17e40

13016071744 has 63 divisors (see below), whose sum is σ = 27993947187. Its totient is φ = 6001941504.

The previous prime is 13016071723. The next prime is 13016071793. The reversal of 13016071744 is 44717061031.

The square root of 13016071744 is 114088.

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 4314913344 + 8701158400 = 65688^2 + 93280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11864604 + ... + 11865700.

Almost surely, 213016071744 is an apocalyptic number.

13016071744 is the 114088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13016071744

13016071744 is an abundant number, since it is smaller than the sum of its proper divisors (14977875443).

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

13016071744 is an frugal number, since it uses more digits than its factorization.

13016071744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 13016071744 in words is "thirteen billion, sixteen million, seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1097 1352 2194 2704 4388 5408 8776 10816 14261 17552 28522 35104 57044 70208 114088 185393 228176 370786 456352 741572 912704 1203409 1483144 2406818 2966288 4813636 5932576 9627272 11865152 15644317 19254544 31288634 38509088 62577268 77018176 125154536 203376121 250309072 406752242 500618144 813504484 1001236288 1627008968 3254017936 6508035872 13016071744