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319438552648336 = 24112192213792
BaseRepresentation
bin100100010100001110001010…
…1011101010100101010010000
31112220001000201222011111021221
41020220130111131110222100
5313332140123434221321
63051220013433054424
7124166450056664422
oct11050342535245220
91486030658144257
10319438552648336
1192868147251300
122b9b13b8b57414
1310931c06cc32b4
1458c4ca0aa0812
1526de4e3263e41
hex1228715754a90

319438552648336 has 135 divisors (see below), whose sum is σ = 718014805617123. Its totient is φ = 137550837251520.

The previous prime is 319438552648333. The next prime is 319438552648493. The reversal of 319438552648336 is 633846255834913.

It is a happy number.

The square root of 319438552648336 is 17872844.

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

It is not an unprimeable number, because it can be changed into a prime (319438552648331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14941686895 + ... + 14941708273.

Almost surely, 2319438552648336 is an apocalyptic number.

319438552648336 is the 17872844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319438552648336

319438552648336 is an abundant number, since it is smaller than the sum of its proper divisors (398576252968787).

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

319438552648336 is an frugal number, since it uses more digits than its factorization.

319438552648336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42826 (or 21411 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 70.

The spelling of 319438552648336 in words is "three hundred nineteen trillion, four hundred thirty-eight billion, five hundred fifty-two million, six hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 361 418 484 722 836 968 1444 1672 1936 2299 2888 3344 3971 4598 5776 7942 9196 15884 18392 21379 31768 36784 42758 43681 63536 85516 87362 171032 174724 235169 342064 349448 406201 470338 698896 812402 940676 1624804 1881352 2586859 3249608 3762704 4468211 5173718 6499216 7717819 8936422 10347436 15435638 17872844 20694872 30871276 35745688 41389744 49150321 61742552 71491376 84896009 98300642 123485104 169792018 196601284 339584036 393202568 457061641 679168072 786405136 914123282 933856099 1358336144 1828246564 1867712198 3656493128 3735424396 5027678051 7312986256 7470848792 8684171179 10055356102 14941697584 17368342358 20110712204 34736684716 40221424408 55304458561 69473369432 80442848816 95525882969 110608917122 138946738864 164999252401 191051765938 221217834244 329998504802 382103531876 442435668488 659997009604 764207063752 884871336976 1050784712659 1319994019208 1528414127504 1814991776411 2101569425318 2639988038416 3629983552822 4203138850636 7259967105644 8406277701272 14519934211288 16812555402544 19964909540521 29039868422576 39929819081042 79859638162084 159719276324168 319438552648336