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131758836196 = 221322326072
BaseRepresentation
bin111101010110101110…
…0000100100111100100
3110121002111111101022011
41322231130010213210
54124320230224241
6140310145044004
712343051425451
oct1725534044744
9417074441264
10131758836196
1150973478869
1221651926604
13c56a3b1400
14653cd08828
15366248a281
hex1ead7049e4

131758836196 has 81 divisors (see below), whose sum is σ = 261437395401. Its totient is φ = 58071952224.

The previous prime is 131758836169. The next prime is 131758836217. The reversal of 131758836196 is 691638857131.

It is a happy number.

The square root of 131758836196 is 362986.

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

It can be written as a sum of positive squares in only one way, i.e., 19490952100 + 112267884096 = 139610^2 + 335064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131758836196.

It is an unprimeable number.

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, 217065325 + ... + 217065931.

Almost surely, 2131758836196 is an apocalyptic number.

131758836196 is the 362986-th square number.

It is an amenable number.

131758836196 is a deficient number, since it is larger than the sum of its proper divisors (129678559205).

131758836196 is an equidigital number, since it uses as much as digits as its factorization.

131758836196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 645 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 58.

The spelling of 131758836196 in words is "one hundred thirty-one billion, seven hundred fifty-eight million, eight hundred thirty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 13 23 26 46 52 92 169 299 338 529 598 607 676 1058 1196 1214 2116 2428 3887 6877 7774 7891 13754 13961 15548 15782 27508 27922 31564 55844 89401 102583 178802 181493 205166 321103 357604 362986 368449 410332 642206 725972 736898 1284412 1473796 2359409 4174339 4718818 4789837 8348678 8474327 9437636 9579674 16697356 16948654 19159348 33897308 54266407 62267881 108532814 110166251 124535762 194909521 217065628 220332502 249071524 389819042 440665004 779638084 1432161263 2533823773 2864322526 5067647546 5728645052 10135295092 32939709049 65879418098 131758836196