Search a number
-
+
161455716868608 = 293423712384033
BaseRepresentation
bin100100101101011111010110…
…101001101010001000000000
3210011200000102111211000210000
4210231133112221222020000
5132130242302004243413
61331215422105440000
746002535114410141
oct4455372651521000
9704600374730700
10161455716868608
1147498a92037618
1216137248aa0000
136c12293893cb6
142bc26d9831ac8
15139ec78bd4073
hex92d7d6a6a200

161455716868608 has 400 divisors, whose sum is σ = 509937777714816. Its totient is φ = 50753561886720.

The previous prime is 161455716868553. The next prime is 161455716868609. The reversal of 161455716868608 is 806868617554161.

161455716868608 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 5 + 5 + 7 + 1 + 6 + 8 + 6 + 8 + 608 = 666.

It is a super-2 number, since 2×1614557168686082 (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 not an unprimeable number, because it can be changed into a prime (161455716868609) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66531760 + ... + 68915792.

Almost surely, 2161455716868608 is an apocalyptic number.

161455716868608 is a gapful number since it is divisible by the number (18) 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 161455716868608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254968888857408).

161455716868608 is an abundant number, since it is smaller than the sum of its proper divisors (348482060846208).

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

161455716868608 is an equidigital number, since it uses as much as digits as its factorization.

161455716868608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384157 (or 2384132 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 161455716868608 in words is "one hundred sixty-one trillion, four hundred fifty-five billion, seven hundred sixteen million, eight hundred sixty-eight thousand, six hundred eight".