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2118128448 = 263291572423
BaseRepresentation
bin111111001000000…
…0001001101000000
312110121122001222210
41332100001031000
513314220102243
6550102502120
7103326536412
oct17620011500
95417561883
102118128448
119976a0287
124b1434940
13279a97457
141614489b2
15c5e48933
hex7e401340

2118128448 has 112 divisors (see below), whose sum is σ = 5836798080. Its totient is φ = 677074944.

The previous prime is 2118128431. The next prime is 2118128459. The reversal of 2118128448 is 8448218112.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 872965 + ... + 875387.

Almost surely, 22118128448 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 2118128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918399040).

2118128448 is an abundant number, since it is smaller than the sum of its proper divisors (3718669632).

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

2118128448 is a wasteful number, since it uses less digits than its factorization.

2118128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2614 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 2118128448 is about 46023.1294894209. The cubic root of 2118128448 is about 1284.2535189085.

The spelling of 2118128448 in words is "two billion, one hundred eighteen million, one hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 157 174 192 232 314 348 464 471 628 696 928 942 1256 1392 1856 1884 2423 2512 2784 3768 4553 4846 5024 5568 7269 7536 9106 9692 10048 13659 14538 15072 18212 19384 27318 29076 30144 36424 38768 54636 58152 70267 72848 77536 109272 116304 140534 145696 155072 210801 218544 232608 281068 291392 380411 421602 437088 465216 562136 760822 843204 874176 1124272 1141233 1521644 1686408 2248544 2282466 3043288 3372816 4497088 4564932 6086576 6745632 9129864 11031919 12173152 13491264 18259728 22063838 24346304 33095757 36519456 44127676 66191514 73038912 88255352 132383028 176510704 264766056 353021408 529532112 706042816 1059064224 2118128448