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2181334784 = 28591391039
BaseRepresentation
bin1000001000000100…
…1000011100000000
312122000120021210012
42002001020130000
513431410203114
61000241324052
7105025016426
oct20201103400
95560507705
102181334784
11a1a341122
1250a636628
13289bc7955
141699bd116
15cb78163e
hex82048700

2181334784 has 72 divisors (see below), whose sum is σ = 4464096000. Its totient is φ = 1063443456.

The previous prime is 2181334781. The next prime is 2181334811. The reversal of 2181334784 is 4874331812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181334781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2098937 + ... + 2099975.

Almost surely, 22181334784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181334784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232048000).

2181334784 is an abundant number, since it is smaller than the sum of its proper divisors (2282761216).

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

2181334784 is a wasteful number, since it uses less digits than its factorization.

2181334784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 2181334784 is about 46704.7618985473. The cubic root of 2181334784 is about 1296.9028409015.

The spelling of 2181334784 in words is "two billion, one hundred eighty-one million, three hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 139 236 256 278 472 556 944 1039 1112 1888 2078 2224 3776 4156 4448 7552 8201 8312 8896 15104 16402 16624 17792 32804 33248 35584 61301 65608 66496 122602 131216 132992 144421 245204 262432 265984 288842 490408 524864 577684 980816 1049728 1155368 1961632 2099456 2310736 3923264 4621472 7846528 8520839 9242944 15693056 17041678 18485888 34083356 36971776 68166712 136333424 272666848 545333696 1090667392 2181334784