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6118998116 = 2271131738779
BaseRepresentation
bin1011011001011100…
…01000000001100100
3120210102222022101212
411230232020001210
5100012430414431
62451103210552
7304430424440
oct55456100144
916712868355
106118998116
112660018940
1212292a6a58
1376693195a
14420947820
1525c2e172b
hex16cb88064

6118998116 has 96 divisors (see below), whose sum is σ = 13971578880. Its totient is φ = 2275257600.

The previous prime is 6118998107. The next prime is 6118998133.

6118998116 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61189981162 = 74884275887223098912, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 692615 + ... + 701393.

It is an arithmetic number, because the mean of its divisors is an integer number (145537280).

Almost surely, 26118998116 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 6118998116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985789440).

6118998116 is an abundant number, since it is smaller than the sum of its proper divisors (7852580764).

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

6118998116 is a wasteful number, since it uses less digits than its factorization.

6118998116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905 (or 8903 counting only the distinct ones).

The product of its digits is 186624, while the sum is 50.

The square root of 6118998116 is about 78224.0251840827. The cubic root of 6118998116 is about 1829.0550344386.

The spelling of 6118998116 in words is "six billion, one hundred eighteen million, nine hundred ninety-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 73 77 124 146 154 217 292 308 341 434 511 682 803 868 1022 1364 1606 2044 2263 2387 3212 4526 4774 5621 8779 9052 9548 11242 15841 17558 22484 24893 31682 35116 49786 61453 63364 96569 99572 122906 174251 193138 245812 272149 348502 386276 544298 640867 675983 697004 1088596 1281734 1351966 1905043 2563468 2703932 2993639 3810086 4486069 5987278 7049537 7620172 8972138 11974556 14099074 17944276 19866877 20955473 28198148 39733754 41910946 49346759 79467508 83821892 98693518 139068139 197387036 218535647 278136278 437071294 556272556 874142588 1529749529 3059499058 6118998116