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2027358144 = 263272109659
BaseRepresentation
bin111100011010111…
…0000011111000000
312020021211110112200
41320311300133000
513123000430034
6533101153200
7101145155100
oct17065603700
95207743480
102027358144
119504331a9
12486b5b800
13264035a06
1415337b200
15bceb8a99
hex78d707c0

2027358144 has 252 divisors, whose sum is σ = 6832168200. Its totient is φ = 573060096.

The previous prime is 2027358143. The next prime is 2027358169. The reversal of 2027358144 is 4418537202.

It is a happy number.

2027358144 is a `hidden beast` number, since 2 + 0 + 2 + 73 + 581 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×20273581442 = 8220362088086249472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2027358099 and 2027358108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027358143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3076087 + ... + 3076745.

Almost surely, 22027358144 is an apocalyptic number.

2027358144 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 2027358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416084100).

2027358144 is an abundant number, since it is smaller than the sum of its proper divisors (4804810056).

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

2027358144 is a wasteful number, since it uses less digits than its factorization.

2027358144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2027358144 is about 45026.1939763956. The cubic root of 2027358144 is about 1265.6399026759.

The spelling of 2027358144 in words is "two billion, twenty-seven million, three hundred fifty-eight thousand, one hundred forty-four".