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196948222795680 = 253531971279831093
BaseRepresentation
bin101100110001111110010100…
…110110111101111110100000
3221211100001210021102021111020
4230301332110312331332200
5201303244430013430210
61534512433044445440
756325016363142106
oct5461762466757640
9854301707367436
10196948222795680
11578322aa37a724
121a109a753a9880
1385b81a3750c95
14368c4b8379c76
1517b811de51770
hexb31f94dbdfa0

196948222795680 has 768 divisors, whose sum is σ = 653356528828416. Its totient is φ = 49808920412160.

The previous prime is 196948222795633. The next prime is 196948222795697. The reversal of 196948222795680 is 86597222849691.

It is a junction number, because it is equal to n+sod(n) for n = 196948222795596 and 196948222795605.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180190505214 + ... + 180190506306.

It is an arithmetic number, because the mean of its divisors is an integer number (850724646912).

Almost surely, 2196948222795680 is an apocalyptic number.

196948222795680 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 196948222795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326678264414208).

196948222795680 is an abundant number, since it is smaller than the sum of its proper divisors (456408306032736).

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

196948222795680 is a wasteful number, since it uses less digits than its factorization.

196948222795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 78.

The spelling of 196948222795680 in words is "one hundred ninety-six trillion, nine hundred forty-eight billion, two hundred twenty-two million, seven hundred ninety-five thousand, six hundred eighty".