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2063581824 = 27341131071
BaseRepresentation
bin111101011111111…
…1100001010000000
312022210222211002110
41322333330022000
513211234104244
6540433415320
7102065104353
oct17277741200
95283884073
102063581824
11969924627
1249710a540
1326b6a9745
141580ca29a
15c12719b9
hex7affc280

2063581824 has 64 divisors (see below), whose sum is σ = 5615124480. Its totient is φ = 671078400.

The previous prime is 2063581801. The next prime is 2063581837. The reversal of 2063581824 is 4281853602.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49792 + ... + 81279.

It is an arithmetic number, because the mean of its divisors is an integer number (87736320).

Almost surely, 22063581824 is an apocalyptic number.

2063581824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2063581824 is an abundant number, since it is smaller than the sum of its proper divisors (3551542656).

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

2063581824 is a wasteful number, since it uses less digits than its factorization.

2063581824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131129 (or 131117 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2063581824 is about 45426.6642402895. The cubic root of 2063581824 is about 1273.1333595547.

The spelling of 2063581824 in words is "two billion, sixty-three million, five hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 131071 262142 393213 524284 786426 1048568 1572852 2097136 3145704 4194272 5373911 6291408 8388544 10747822 12582816 16121733 16777088 21495644 25165632 32243466 42991288 50331264 64486932 85982576 128973864 171965152 257947728 343930304 515895456 687860608 1031790912 2063581824