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11738855716 = 22727121092
BaseRepresentation
bin10101110111011000…
…01011100100100100
31010022002201122201221
422323230023210210
5143020121340331
65220500230124
7563620425100
oct127354134444
933262648657
1011738855716
114a84307055
12233739b344
13115101c793
147d5080900
1548a889711
hex2bbb0b924

11738855716 has 81 divisors (see below), whose sum is σ = 24462683217. Its totient is φ = 4914574560.

The previous prime is 11738855701. The next prime is 11738855729. The reversal of 11738855716 is 61755883711.

The square root of 11738855716 is 108346.

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

11738855716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8181926116 + 3556929600 = 90454^2 + 59640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107695870 + ... + 107695978.

Almost surely, 211738855716 is an apocalyptic number.

11738855716 is the 108346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11738855716

11738855716 is an abundant number, since it is smaller than the sum of its proper divisors (12723827501).

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

11738855716 is an equidigital number, since it uses as much as digits as its factorization.

11738855716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 52.

The spelling of 11738855716 in words is "eleven billion, seven hundred thirty-eight million, eight hundred fifty-five thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 49 71 98 109 142 196 218 284 436 497 763 994 1526 1988 3052 3479 5041 5341 6958 7739 10082 10682 11881 13916 15478 20164 21364 23762 30956 35287 47524 54173 70574 83167 108346 141148 166334 216692 247009 332668 379211 494018 549469 582169 758422 843551 988036 1098938 1164338 1516844 1687102 2197876 2328676 3374204 3846283 5904857 7692566 11809714 15385132 23619428 26923981 41333999 53847962 59892121 82667998 107695924 119784242 165335996 239568484 419244847 838489694 1676979388 2934713929 5869427858 11738855716