Search a number
-
+
162970198720 = 26571928113627
BaseRepresentation
bin1001011111000111000…
…1111110001011000000
3120120122200011212122221
42113301301332023000
510132230332324340
6202511212540424
714526360555460
oct2276161761300
9516580155587
10162970198720
116312a47944a
1227702481714
13124a2718764
147c6019dba0
15438c5e644a
hex25f1c7e2c0

162970198720 has 224 divisors, whose sum is σ = 468550264320. Its totient is φ = 52742430720.

The previous prime is 162970198711. The next prime is 162970198751. The reversal of 162970198720 is 27891079261.

162970198720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11952547 + ... + 11966173.

Almost surely, 2162970198720 is an apocalyptic number.

162970198720 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 162970198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234275132160).

162970198720 is an abundant number, since it is smaller than the sum of its proper divisors (305580065600).

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

162970198720 is a wasteful number, since it uses less digits than its factorization.

162970198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 52.

The spelling of 162970198720 in words is "one hundred sixty-two billion, nine hundred seventy million, one hundred ninety-eight thousand, seven hundred twenty".