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5018112000 = 2123453112
BaseRepresentation
bin1001010110001101…
…00101000000000000
3110221201110111120000
410223012211000000
540234114041000
62145535320000
7235232151066
oct45306450000
913851414500
105018112000
112145658900
12b80680000
1361c830855
14358658036
151e5833000
hex12b1a5000

5018112000 has 780 divisors, whose sum is σ = 20563571028. Its totient is φ = 1216512000.

The previous prime is 5018111993. The next prime is 5018112041. The reversal of 5018112000 is 2118105.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 160579584 + 4857532416 = 12672^2 + 69696^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 456191995 + ... + 456192005.

Almost surely, 25018112000 is an apocalyptic number.

5018112000 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 5018112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281785514).

5018112000 is an abundant number, since it is smaller than the sum of its proper divisors (15545459028).

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

5018112000 is an equidigital number, since it uses as much as digits as its factorization.

5018112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 5018112000 is about 70838.6335271933. The cubic root of 5018112000 is about 1712.0381975348.

Multiplying 5018112000 by its product of nonzero digits (80), we get a square (401448960000 = 6336002).

5018112000 divided by its product of nonzero digits (80) gives a square (62726400 = 79202).

The spelling of 5018112000 in words is "five billion, eighteen million, one hundred twelve thousand".