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2027420928000 = 21135531323109
BaseRepresentation
bin11101100000001011101…
…101000100100000000000
321011211010110011022200000
4131200023231010200000
5231204124224144000
64151215002400000
7266322244355406
oct35401355044000
97154113138600
102027420928000
11711908293956
12288b17200000
13119253503160
14701b0583476
1537b104ac000
hex1d80bb44800

2027420928000 has 2304 divisors, whose sum is σ = 8594326540800. Its totient is φ = 472979865600.

The previous prime is 2027420927971. The next prime is 2027420928037. The reversal of 2027420928000 is 8290247202.

It is a happy number.

2027420928000 is a `hidden beast` number, since 202 + 7 + 420 + 9 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×20274209280002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18600191946 + ... + 18600192054.

It is an arithmetic number, because the mean of its divisors is an integer number (3730176450).

Almost surely, 22027420928000 is an apocalyptic number.

2027420928000 is a gapful number since it is divisible by the number (20) 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 2027420928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297163270400).

2027420928000 is an abundant number, since it is smaller than the sum of its proper divisors (6566905612800).

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

2027420928000 is a wasteful number, since it uses less digits than its factorization.

2027420928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2027420928000 in words is "two trillion, twenty-seven billion, four hundred twenty million, nine hundred twenty-eight thousand".