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2089002144 = 253591911931
BaseRepresentation
bin111110010000011…
…1010010010100000
312101120211022012210
41330200322102200
513234241032034
6543142322120
7102524140155
oct17440722240
95346738183
102089002144
11982207259
124a3729340
13273a3a058
1415b62622c
15c35e38e9
hex7c83a4a0

2089002144 has 96 divisors (see below), whose sum is σ = 5608673280. Its totient is φ = 680595200.

The previous prime is 2089002119. The next prime is 2089002151. The reversal of 2089002144 is 4412009802.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1080859 + ... + 1082789.

It is an arithmetic number, because the mean of its divisors is an integer number (58423680).

Almost surely, 22089002144 is an apocalyptic number.

2089002144 is a gapful number since it is divisible by the number (24) 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 2089002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804336640).

2089002144 is an abundant number, since it is smaller than the sum of its proper divisors (3519671136).

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

2089002144 is a wasteful number, since it uses less digits than its factorization.

2089002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2089002144 is about 45705.6029825666. The cubic root of 2089002144 is about 1278.3397550352.

The spelling of 2089002144 in words is "two billion, eighty-nine million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 191 236 354 382 472 573 708 764 944 1146 1416 1528 1888 1931 2292 2832 3056 3862 4584 5664 5793 6112 7724 9168 11269 11586 15448 18336 22538 23172 30896 33807 45076 46344 61792 67614 90152 92688 113929 135228 180304 185376 227858 270456 341787 360608 368821 455716 540912 683574 737642 911432 1081824 1106463 1367148 1475284 1822864 2212926 2734296 2950568 3645728 4425852 5468592 5901136 8851704 10937184 11802272 17703408 21760439 35406816 43520878 65281317 87041756 130562634 174083512 261125268 348167024 522250536 696334048 1044501072 2089002144