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8028979200000 = 2183455112
BaseRepresentation
bin111010011010110010001…
…1101000000000000000000
31001102120012100212021220000
41310311210131000000000
52023021322133400000
625024243452520000
71456034406103623
oct164654435000000
931376170767800
108028979200000
112616086497100
12a980a0a80000
1346318b648795
141da8672c3dba
15ddcbb150000
hex74d64740000

8028979200000 has 1710 divisors, whose sum is σ = 32956291799046. Its totient is φ = 1946419200000.

The previous prime is 8028979199987. The next prime is 8028979200001. The reversal of 8028979200000 is 29798208.

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 3 ways, for example, as 3710030708736 + 4318948491264 = 1926144^2 + 2078208^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028979200001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 729907199995 + ... + 729907200005.

Almost surely, 28028979200000 is an apocalyptic number.

8028979200000 is a gapful number since it is divisible by the number (80) 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 8028979200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478145899523).

8028979200000 is an abundant number, since it is smaller than the sum of its proper divisors (24927312599046).

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

8028979200000 is an frugal number, since it uses more digits than its factorization.

8028979200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Multiplying 8028979200000 by its sum of digits (45), we get a square (361304064000000 = 190080002).

8028979200000 divided by its sum of digits (45) gives a square (178421760000 = 4224002).

The spelling of 8028979200000 in words is "eight trillion, twenty-eight billion, nine hundred seventy-nine million, two hundred thousand".