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2099248128 = 210321713399
BaseRepresentation
bin111110100011111…
…1111110000000000
312102022002212001200
41331013333300000
513244401420003
6544150101200
7103010212635
oct17507776000
95368085050
102099248128
11987a7520a
124a704a800
13275bb6873
1415cb3218c
15c44696a3
hex7d1ffc00

2099248128 has 132 divisors (see below), whose sum is σ = 6418573200. Its totient is φ = 658538496.

The previous prime is 2099248051. The next prime is 2099248133. The reversal of 2099248128 is 8218429902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149973 + ... + 163371.

Almost surely, 22099248128 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 2099248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209286600).

2099248128 is an abundant number, since it is smaller than the sum of its proper divisors (4319325072).

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

2099248128 is a wasteful number, since it uses less digits than its factorization.

2099248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13442 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2099248128 is about 45817.5526190564. The cubic root of 2099248128 is about 1280.4263163288.

The spelling of 2099248128 in words is "two billion, ninety-nine million, two hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 13399 17408 19584 26112 26798 39168 40197 52224 53596 78336 80394 107192 120591 156672 160788 214384 227783 241182 321576 428768 455566 482364 643152 683349 857536 911132 964728 1286304 1366698 1715072 1822264 1929456 2050047 2572608 2733396 3430144 3644528 3858912 4100094 5145216 5466792 6860288 7289056 7717824 8200188 10290432 10933584 13720576 14578112 15435648 16400376 20580864 21867168 29156224 30871296 32800752 41161728 43734336 58312448 61742592 65601504 87468672 116624896 123485184 131203008 174937344 233249792 262406016 349874688 524812032 699749376 1049624064 2099248128