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2020218178944 = 273719173373613
BaseRepresentation
bin11101011001011110011…
…000110000110110000000
321011010112110220202110110
4131121132120300312000
5231044401323211234
64144024142431320
7265645614122130
oct35313630606600
97133473822413
102020218178944
11709851549989
12287646b92540
131186761bc874
146dac9b2aac0
153783ce941e9
hex1d65e630d80

2020218178944 has 512 divisors, whose sum is σ = 6520927564800. Its totient is φ = 541323067392.

The previous prime is 2020218178919. The next prime is 2020218178949. The reversal of 2020218178944 is 4498718120202.

It is a super-3 number, since 3×20202181789443 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2020218178893 and 2020218178902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020218178949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3295624782 + ... + 3295625394.

It is an arithmetic number, because the mean of its divisors is an integer number (12736186650).

Almost surely, 22020218178944 is an apocalyptic number.

2020218178944 is a gapful number since it is divisible by the number (24) 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 2020218178944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260463782400).

2020218178944 is an abundant number, since it is smaller than the sum of its proper divisors (4500709385856).

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

2020218178944 is a wasteful number, since it uses less digits than its factorization.

2020218178944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 2020218178944 in words is "two trillion, twenty billion, two hundred eighteen million, one hundred seventy-eight thousand, nine hundred forty-four".