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6108998016 = 273112949871
BaseRepresentation
bin1011011000001111…
…11110100110000000
3120202202011020211210
411230013332212000
5100002400414031
62450105010120
7304246424562
oct55407764600
916682136753
106108998016
1126554086a0
121225a83940
13764840034
1441d4a3332
1525b4b8746
hex16c1fe980

6108998016 has 128 divisors (see below), whose sum is σ = 18312998400. Its totient is φ = 1787340800.

The previous prime is 6108997997. The next prime is 6108998033.

6108998016 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97561 + ... + 147431.

It is an arithmetic number, because the mean of its divisors is an integer number (143070300).

Almost surely, 26108998016 is an apocalyptic number.

6108998016 is a gapful number since it is divisible by the number (66) 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 6108998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156499200).

6108998016 is an abundant number, since it is smaller than the sum of its proper divisors (12204000384).

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

6108998016 is a wasteful number, since it uses less digits than its factorization.

6108998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49928 (or 49916 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 6108998016 is about 78160.0794267764. The cubic root of 6108998016 is about 1828.0581007378.

The spelling of 6108998016 in words is "six billion, one hundred eight million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 264 319 348 352 384 464 528 638 696 704 928 957 1056 1276 1392 1408 1856 1914 2112 2552 2784 3712 3828 4224 5104 5568 7656 10208 11136 15312 20416 30624 40832 49871 61248 99742 122496 149613 199484 299226 398968 548581 598452 797936 1097162 1196904 1446259 1595872 1645743 2194324 2393808 2892518 3191744 3291486 4338777 4388648 4787616 5785036 6383488 6582972 8677554 8777296 9575232 11570072 13165944 15908849 17355108 17554592 19150464 23140144 26331888 31817698 34710216 35109184 46280288 47726547 52663776 63635396 69420432 70218368 92560576 95453094 105327552 127270792 138840864 185121152 190906188 210655104 254541584 277681728 381812376 509083168 555363456 763624752 1018166336 1527249504 2036332672 3054499008 6108998016