Search a number
-
+
196717793771520 = 219345733773
BaseRepresentation
bin101100101110100111101110…
…001110000000000000000000
3221210112001000021120000010000
4230232213232032000000000
5201241011020201142040
61534214523515040000
756302251212562000
oct5456475616000000
9853461007500100
10196717793771520
115775360318627a
121a091287140000
13859c540205688
143681298c92000
1517b21343aa130
hexb2e9ee380000

196717793771520 has 3200 divisors, whose sum is σ = 856271378160000. Its totient is φ = 43149523156992.

The previous prime is 196717793771497. The next prime is 196717793771633. The reversal of 196717793771520 is 25177397717691.

196717793771520 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 1 + 7 + 7 + 93 + 7 + 7 + 1 + 520 = 666.

It is a super-2 number, since 2×1967177937715202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2694764298204 + ... + 2694764298276.

It is an arithmetic number, because the mean of its divisors is an integer number (267584805675).

Almost surely, 2196717793771520 is an apocalyptic number.

196717793771520 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 196717793771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428135689080000).

196717793771520 is an abundant number, since it is smaller than the sum of its proper divisors (659553584388480).

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

196717793771520 is an frugal number, since it uses more digits than its factorization.

196717793771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 245046060, while the sum is 72.

The spelling of 196717793771520 in words is "one hundred ninety-six trillion, seven hundred seventeen billion, seven hundred ninety-three million, seven hundred seventy-one thousand, five hundred twenty".