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2099861632 = 27113148109
BaseRepresentation
bin111110100101001…
…0101100010000000
312102100021000122001
41331022111202000
513300031033012
6544211153344
7103015346401
oct17512254200
95370230561
102099861632
11988354140
124a72a5854
1327606cb9b
1415cc519a8
15c453b357
hex7d295880

2099861632 has 64 divisors (see below), whose sum is σ = 4710931200. Its totient is φ = 923673600.

The previous prime is 2099861591. The next prime is 2099861653. The reversal of 2099861632 is 2361689902.

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

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, 19594 + ... + 67702.

It is an arithmetic number, because the mean of its divisors is an integer number (73608300).

Almost surely, 22099861632 is an apocalyptic number.

2099861632 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 2099861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355465600).

2099861632 is an abundant number, since it is smaller than the sum of its proper divisors (2611069568).

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

2099861632 is a wasteful number, since it uses less digits than its factorization.

2099861632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48165 (or 48153 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 2099861632 is about 45824.2472060371. The cubic root of 2099861632 is about 1280.5510387860.

The spelling of 2099861632 in words is "two billion, ninety-nine million, eight hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1364 1408 1984 2728 3968 5456 10912 21824 43648 48109 96218 192436 384872 529199 769744 1058398 1491379 1539488 2116796 2982758 3078976 4233592 5965516 6157952 8467184 11931032 16405169 16934368 23862064 32810338 33868736 47724128 65620676 67737472 95448256 131241352 190896512 262482704 524965408 1049930816 2099861632