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2089101824 = 294319467
BaseRepresentation
bin111110010000101…
…0010101000000000
312101121000100221122
41330201102220000
513234302224244
6543144411412
7102525033605
oct17441225000
95347010848
102089101824
11982275137
124a3776b68
13273a73534
1415b6506ac
15c36131ee
hex7c852a00

2089101824 has 40 divisors (see below), whose sum is σ = 4184250048. Its totient is φ = 1042017280.

The previous prime is 2089101821. The next prime is 2089101827. The reversal of 2089101824 is 4281019802.

It is an interprime number because it is at equal distance from previous prime (2089101821) and next prime (2089101827).

It is not an unprimeable number, because it can be changed into a prime (2089101821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215939 + ... + 225405.

Almost surely, 22089101824 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 2089101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092125024).

2089101824 is an abundant number, since it is smaller than the sum of its proper divisors (2095148224).

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

2089101824 is an frugal number, since it uses more digits than its factorization.

2089101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 2089101824 is about 45706.6934266744. The cubic root of 2089101824 is about 1278.3600873711.

The spelling of 2089101824 in words is "two billion, eighty-nine million, one hundred one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 431 512 862 1724 3448 6896 9467 13792 18934 27584 37868 55168 75736 110336 151472 220672 302944 605888 1211776 2423552 4080277 4847104 8160554 16321108 32642216 65284432 130568864 261137728 522275456 1044550912 2089101824