Search a number
-
+
5023100160000 = 211325413171973
BaseRepresentation
bin100100100011000100000…
…0110011100100000000000
3122210012111111010211200200
41021012020012130200000
51124244302120110000
614403325205045200
71025623050611316
oct111061006344000
918705444124620
105023100160000
1116673150a768a
126916160b6800
132a58a3b219b0
141351956a80b6
158a9e0718500
hex4918819c800

5023100160000 has 1440 divisors, whose sum is σ = 20682164182680. Its totient is φ = 1163132928000.

The previous prime is 5023100159963. The next prime is 5023100160019. The reversal of 5023100160000 is 610013205.

5023100160000 is a `hidden beast` number, since 50 + 2 + 3 + 10 + 0 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 2962474361856 + 2060625798144 = 1721184^2 + 1435488^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2545919014 + ... + 2545920986.

Almost surely, 25023100160000 is an apocalyptic number.

5023100160000 is a gapful number since it is divisible by the number (50) 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 5023100160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10341082091340).

5023100160000 is an abundant number, since it is smaller than the sum of its proper divisors (15659064022680).

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

5023100160000 is a wasteful number, since it uses less digits than its factorization.

5023100160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 5023100160000 its reverse (610013205), we get a palindrome (5023710173205).

The spelling of 5023100160000 in words is "five trillion, twenty-three billion, one hundred million, one hundred sixty thousand".