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27128628120 = 233511193106487
BaseRepresentation
bin11001010000111111…
…100000001110011000
32121000122022002122110
4121100333200032120
5421024412044440
620243540352320
71650162351156
oct312077401630
977018262573
1027128628120
1110561448920
1253113a56a0
132734538a99
141454d663d6
15a8b9e2080
hex650fe0398

27128628120 has 128 divisors (see below), whose sum is σ = 89245463040. Its totient is φ = 6542499840.

The previous prime is 27128628119. The next prime is 27128628161. The reversal of 27128628120 is 2182682172.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201517 + ... + 308003.

It is an arithmetic number, because the mean of its divisors is an integer number (697230180).

Almost surely, 227128628120 is an apocalyptic number.

27128628120 is a gapful number since it is divisible by the number (20) 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 27128628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44622731520).

27128628120 is an abundant number, since it is smaller than the sum of its proper divisors (62116834920).

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

27128628120 is a wasteful number, since it uses less digits than its factorization.

27128628120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106705 (or 106701 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 27128628120 in words is "twenty-seven billion, one hundred twenty-eight million, six hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 193 220 264 330 386 440 579 660 772 965 1158 1320 1544 1930 2123 2316 2895 3860 4246 4632 5790 6369 7720 8492 10615 11580 12738 16984 21230 23160 25476 31845 42460 50952 63690 84920 106487 127380 212974 254760 319461 425948 532435 638922 851896 1064870 1171357 1277844 1597305 2129740 2342714 2555688 3194610 3514071 4259480 4685428 5856785 6389220 7028142 9370856 11713570 12778440 14056284 17570355 20551991 23427140 28112568 35140710 41103982 46854280 61655973 70281420 82207964 102759955 123311946 140562840 164415928 205519910 226071901 246623892 308279865 411039820 452143802 493247784 616559730 678215703 822079640 904287604 1130359505 1233119460 1356431406 1808575208 2260719010 2466238920 2712862812 3391078515 4521438020 5425725624 6782157030 9042876040 13564314060 27128628120