Search a number
-
+
162363113472 = 21537237911
BaseRepresentation
bin1001011100110110011…
…0001000000000000000
3120112002100211202021010
42113031212020000000
510130004424112342
6202331045000520
714505336456600
oct2271546100000
9515070752233
10162363113472
11629488212aa
12275730b3140
1312406a0bc11
147c036d0c00
15435417929c
hex25cd988000

162363113472 has 384 divisors, whose sum is σ = 517829258880. Its totient is φ = 45086146560.

The previous prime is 162363113461. The next prime is 162363113587. The reversal of 162363113472 is 274311363261.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 162363113472.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178224697 + ... + 178225607.

It is an arithmetic number, because the mean of its divisors is an integer number (1348513695).

Almost surely, 2162363113472 is an apocalyptic number.

162363113472 is a gapful number since it is divisible by the number (12) 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 162363113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258914629440).

162363113472 is an abundant number, since it is smaller than the sum of its proper divisors (355466145408).

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

162363113472 is an frugal number, since it uses more digits than its factorization.

162363113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 960 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The spelling of 162363113472 in words is "one hundred sixty-two billion, three hundred sixty-three million, one hundred thirteen thousand, four hundred seventy-two".