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2098356288 = 26377919763
BaseRepresentation
bin111110100010010…
…0110000001000000
312102020102112200120
41331010212001000
513244134400123
6544115020240
7102666506550
oct17504460100
95366375616
102098356288
11987516156
124a689a680
13275963952
1415c97d160
15c43402e3
hex7d126040

2098356288 has 112 divisors (see below), whose sum is σ = 6425671680. Its totient is φ = 591911424.

The previous prime is 2098356251. The next prime is 2098356347. The reversal of 2098356288 is 8826538902.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20983562882 = 8806198222778277888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2098356288.

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, 96295 + ... + 116057.

Almost surely, 22098356288 is an apocalyptic number.

2098356288 is a gapful number since it is divisible by the number (28) 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 2098356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212835840).

2098356288 is an abundant number, since it is smaller than the sum of its proper divisors (4327315392).

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

2098356288 is a wasteful number, since it uses less digits than its factorization.

2098356288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19864 (or 19854 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 2098356288 is about 45807.8190705473. The cubic root of 2098356288 is about 1280.2449661363.

The spelling of 2098356288 in words is "two billion, ninety-eight million, three hundred fifty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 948 1106 1264 1344 1659 1896 2212 2528 3318 3792 4424 5056 6636 7584 8848 13272 15168 17696 19763 26544 35392 39526 53088 59289 79052 106176 118578 138341 158104 237156 276682 316208 415023 474312 553364 632416 830046 948624 1106728 1264832 1561277 1660092 1897248 2213456 3122554 3320184 3794496 4426912 4683831 6245108 6640368 8853824 9367662 10928939 12490216 13280736 18735324 21857878 24980432 26561472 32786817 37470648 43715756 49960864 65573634 74941296 87431512 99921728 131147268 149882592 174863024 262294536 299765184 349726048 524589072 699452096 1049178144 2098356288