Search a number
-
+
2199450412096 = 2673592107269
BaseRepresentation
bin100000000000011001011…
…101011110010001000000
321210021011110222120120221
4200000121131132101000
5242013433301141341
64402225155312424
7314622301015000
oct40003135362100
97707143876527
102199450412096
11778866466503
122b63275ab714
1312c53aa587b2
147864d98c000
153c32d090ed1
hex2001975e440

2199450412096 has 336 divisors, whose sum is σ = 5245382448000. Its totient is φ = 914572151808.

The previous prime is 2199450412091. The next prime is 2199450412127. The reversal of 2199450412096 is 6902140549912.

It is a super-2 number, since 2×21994504120962 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2199450412091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8176395450 + ... + 8176395718.

Almost surely, 22199450412096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199450412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622691224000).

2199450412096 is an abundant number, since it is smaller than the sum of its proper divisors (3045932035904).

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

2199450412096 is an equidigital number, since it uses as much as digits as its factorization.

2199450412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 2199450412096 in words is "two trillion, one hundred ninety-nine billion, four hundred fifty million, four hundred twelve thousand, ninety-six".