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2054326912 = 271111931223
BaseRepresentation
bin111101001110010…
…1000101010000000
312022011120121201221
41322130220222000
513201401430122
6535503204424
7101623330201
oct17234505200
95264517657
102054326912
11964683240
12493ba6714
132697b9071
14156b9b5a8
15c05446c7
hex7a728a80

2054326912 has 64 divisors (see below), whose sum is σ = 4472055360. Its totient is φ = 932239360.

The previous prime is 2054326909. The next prime is 2054326931. The reversal of 2054326912 is 2196234502.

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

It is a super-2 number, since 2×20543269122 = 8440518122734911488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1679133 + ... + 1680355.

It is an arithmetic number, because the mean of its divisors is an integer number (69875865).

Almost surely, 22054326912 is an apocalyptic number.

2054326912 is a gapful number since it is divisible by the number (22) 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 2054326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236027680).

2054326912 is an abundant number, since it is smaller than the sum of its proper divisors (2417728448).

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

2054326912 is a wasteful number, since it uses less digits than its factorization.

2054326912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2054326912 is about 45324.6832531679. The cubic root of 2054326912 is about 1271.2272246648.

The spelling of 2054326912 in words is "two billion, fifty-four million, three hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1193 1223 1408 2386 2446 4772 4892 9544 9784 13123 13453 19088 19568 26246 26906 38176 39136 52492 53812 76352 78272 104984 107624 152704 156544 209968 215248 419936 430496 839872 860992 1459039 1679744 1721984 2918078 5836156 11672312 16049429 23344624 32098858 46689248 64197716 93378496 128395432 186756992 256790864 513581728 1027163456 2054326912