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42060060000 = 25345473709
BaseRepresentation
bin100111001010111110…
…011001010101100000
311000120020102102120000
4213022332121111200
51142114333410000
631153325020000
73016200416430
oct471276312540
9130506372500
1042060060000
1116923897672
1281999b4600
133c73ac7c8a
14207001c2c0
1511627b0000
hex9caf99560

42060060000 has 600 divisors, whose sum is σ = 176701749840. Its totient is φ = 9611136000.

The previous prime is 42060059983. The next prime is 42060060019. The reversal of 42060060000 is 6006024.

42060060000 is a `hidden beast` number, since 4 + 2 + 0 + 60 + 0 + 600 + 0 + 0 = 666.

42060060000 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 (600).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 11338146 + ... + 11341854.

Almost surely, 242060060000 is an apocalyptic number.

42060060000 is a gapful number since it is divisible by the number (40) 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 42060060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88350874920).

42060060000 is an abundant number, since it is smaller than the sum of its proper divisors (134641689840).

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

42060060000 is an equidigital number, since it uses as much as digits as its factorization.

42060060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42060060000 its reverse (6006024), we get a palindrome (42066066024).

The spelling of 42060060000 in words is "forty-two billion, sixty million, sixty thousand", and thus it is an eban number.