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2027314944 = 28322367571
BaseRepresentation
bin111100011010110…
…0101111100000000
312020021202021021200
41320311211330000
513122443034234
6533100221200
7101144615124
oct17065457400
95207667250
102027314944
119504037a6
12486b3a800
1326401c155
14153369584
15bceaad99
hex78d65f00

2027314944 has 216 divisors, whose sum is σ = 6201267072. Its totient is φ = 635627520.

The previous prime is 2027314943. The next prime is 2027314963. The reversal of 2027314944 is 4494137202.

It is a super-2 number, since 2×20273149442 = 8220011764331446272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2027314899 and 2027314908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027314943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3550179 + ... + 3550749.

Almost surely, 22027314944 is an apocalyptic number.

2027314944 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 2027314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100633536).

2027314944 is an abundant number, since it is smaller than the sum of its proper divisors (4173952128).

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

2027314944 is a wasteful number, since it uses less digits than its factorization.

2027314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2027314944 is about 45025.7142530799. The cubic root of 2027314944 is about 1265.6309129747.

The spelling of 2027314944 in words is "two billion, twenty-seven million, three hundred fourteen thousand, nine hundred forty-four".