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2026080144 = 2432114312
BaseRepresentation
bin111100011000011…
…1000011110010000
312020012102112110100
41320300320132100
513122134031034
6533013532400
7101131253124
oct17060703620
95205375410
102026080144
1194a740000
12486644100
132639a90ba
14153127584
15bcd15099
hex78c38790

2026080144 has 225 divisors, whose sum is σ = 6444882795. Its totient is φ = 594158400.

The previous prime is 2026080127. The next prime is 2026080163. The reversal of 2026080144 is 4410806202.

The square root of 2026080144 is 45012.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×20260801442 = 8210001499822121472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65357409 + ... + 65357439.

Almost surely, 22026080144 is an apocalyptic number.

2026080144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2026080144 is the 45012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026080144

2026080144 is an abundant number, since it is smaller than the sum of its proper divisors (4418802651).

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

2026080144 is an equidigital number, since it uses as much as digits as its factorization.

2026080144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 2026080144 is about 1265.3739033350.

Adding to 2026080144 its reverse (4410806202), we get a palindrome (6436886346).

The spelling of 2026080144 in words is "two billion, twenty-six million, eighty thousand, one hundred forty-four".