Search a number
-
+
196093419128896 = 26461237972
BaseRepresentation
bin101100100101100010001110…
…100101110000100001000000
3221201022100101112111210212011
4230211202032211300201000
5201200243310244111041
61533020023443342304
756206165504642642
oct5445421645604100
9851270345453764
10196093419128896
115753282aa53a33
1219bb0275381994
1385556b7778313
14365cd8772c892
1517a0c8e6e5e81
hexb2588e970840

196093419128896 has 63 divisors (see below), whose sum is σ = 390071525402887. Its totient is φ = 97808260759040.

The previous prime is 196093419128861. The next prime is 196093419128987. The reversal of 196093419128896 is 698821914390691.

It is a happy number.

The square root of 196093419128896 is 14003336.

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 111484033960000 + 84609385168896 = 10558600^2 + 9198336^2 .

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, 51644301270 + ... + 51644305066.

Almost surely, 2196093419128896 is an apocalyptic number.

196093419128896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196093419128896 is the 14003336-th square number.

It is an amenable number.

196093419128896 is a deficient number, since it is larger than the sum of its proper divisors (193978106273991).

196093419128896 is an frugal number, since it uses more digits than its factorization.

196093419128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 76.

The spelling of 196093419128896 in words is "one hundred ninety-six trillion, ninety-three billion, four hundred nineteen million, one hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 461 922 1844 3688 3797 7376 7594 14752 15188 29504 30376 60752 121504 212521 243008 425042 850084 1700168 1750417 3400336 3500834 6800672 7001668 13601344 14003336 14417209 28006672 28834418 56013344 57668836 112026688 115337672 230675344 461350688 806942237 922701376 1613884474 3227768948 6455537896 6646333349 12911075792 13292666698 25822151584 26585333396 51644303168 53170666792 106341333584 212682667168 425365334336 3063959673889 6127919347778 12255838695556 24511677391112 49023354782224 98046709564448 196093419128896