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2071395648 = 26327513739
BaseRepresentation
bin111101101110110…
…1111110101000000
312100100200210122100
41323131233311000
513220234130043
6541313110400
7102221400240
oct17335576500
95310623570
102071395648
11973281233
12499858400
132701b41ca
14159161b20
15c1cb6cd3
hex7b76fd40

2071395648 has 84 divisors (see below), whose sum is σ = 6785477920. Its totient is φ = 591826176.

The previous prime is 2071395629. The next prime is 2071395649. The reversal of 2071395648 is 8465931702.

2071395648 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

2071395648 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071395649) 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 11 ways as a sum of consecutive naturals, for example, 252838 + ... + 260901.

It is a 1-persistent number, because it is pandigital, but 2⋅2071395648 = 4142791296 is not.

Almost surely, 22071395648 is an apocalyptic number.

2071395648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2071395648 is an abundant number, since it is smaller than the sum of its proper divisors (4714082272).

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

2071395648 is a wasteful number, since it uses less digits than its factorization.

2071395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513764 (or 513751 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2071395648 is about 45512.5877972237. The cubic root of 2071395648 is about 1274.7382567667.

The spelling of 2071395648 in words is "two billion, seventy-one million, three hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 513739 1027478 1541217 2054956 3082434 3596173 4109912 4623651 6164868 7192346 8219824 9247302 10788519 12329736 14384692 16439648 18494604 21577038 24659472 28769384 32365557 32879296 36989208 43154076 49318944 57538768 64731114 73978416 86308152 98637888 115077536 129462228 147956832 172616304 230155072 258924456 295913664 345232608 517848912 690465216 1035697824 2071395648