Search a number
-
+
196546077711360 = 21038513450071
BaseRepresentation
bin101100101100000111110011…
…001001001101110000000000
3221202220121210002111100000000
4230230013303021031300000
5201230202331343230420
61534004004400000000
756253662013261666
oct5454076311156000
9852817702440000
10196546077711360
11576977a5a16773
121a063b43900000
1385892a589aca0
143676c49352c36
1517ac934087690
hexb2c1f324dc00

196546077711360 has 792 divisors, whose sum is σ = 761584954699296. Its totient is φ = 48380465479680.

The previous prime is 196546077711331. The next prime is 196546077711407. The reversal of 196546077711360 is 63117770645691.

196546077711360 is a `hidden beast` number, since 1 + 9 + 6 + 5 + 4 + 607 + 7 + 7 + 1 + 13 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436475125 + ... + 436925195.

Almost surely, 2196546077711360 is an apocalyptic number.

196546077711360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196546077711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380792477349648).

196546077711360 is an abundant number, since it is smaller than the sum of its proper divisors (565038876987936).

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

196546077711360 is an frugal number, since it uses more digits than its factorization.

196546077711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450133 (or 450094 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 196546077711360 in words is "one hundred ninety-six trillion, five hundred forty-six billion, seventy-seven million, seven hundred eleven thousand, three hundred sixty".