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5186496102544 = 2417210723132
BaseRepresentation
bin100101101111001001101…
…0000100000000010010000
3200100211020211102202002101
41023132103100200002100
51134433421000240134
615010350551130144
71043466131322541
oct113362320400220
920324224382071
105186496102544
11171a642924729
126b9217073954
132b81137c3673
1413d0562104c8
158eda53aae14
hex4b793420090

5186496102544 has 135 divisors (see below), whose sum is σ = 10809947557227. Its totient is φ = 2410168829952.

The previous prime is 5186496102479. The next prime is 5186496102587. The reversal of 5186496102544 is 4452016946815.

The square root of 5186496102544 is 2277388.

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 824079052944 + 4362417049600 = 907788^2 + 2088640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16570274932 + ... + 16570275244.

Almost surely, 25186496102544 is an apocalyptic number.

5186496102544 is the 2277388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5186496102544

5186496102544 is an abundant number, since it is smaller than the sum of its proper divisors (5623451454683).

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

5186496102544 is an equidigital number, since it uses as much as digits as its factorization.

5186496102544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 5186496102544 in words is "five trillion, one hundred eighty-six billion, four hundred ninety-six million, one hundred two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 107 136 214 272 289 313 428 578 626 856 1156 1252 1712 1819 2312 2504 3638 4624 5008 5321 7276 10642 11449 14552 21284 22898 29104 30923 33491 42568 45796 61846 66982 85136 90457 91592 97969 123692 133964 180914 183184 194633 195938 247384 267928 361828 389266 391876 494768 535856 569347 723656 778532 783752 1138694 1447312 1557064 1567504 1665473 2277388 3114128 3308761 3330946 3583537 4554776 6617522 6661892 7167074 9109552 9678899 10482683 13235044 13323784 14334148 19357798 20965366 26470088 26647568 28313041 28668296 38715596 41930732 52940176 56626082 57336592 60920129 77431192 83861464 113252164 121840258 154862384 167722928 178205611 226504328 243680516 356411222 453008656 487361032 712822444 974722064 1035642193 1121647081 1425644888 2071284386 2243294162 2851289776 3029495387 4142568772 4486588324 6058990774 8285137544 8973176648 12117981548 16570275088 17946353296 19068000377 24235963096 38136000754 48471926192 76272001508 152544003016 305088006032 324156006409 648312012818 1296624025636 2593248051272 5186496102544