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16105601640 = 23357312831433
BaseRepresentation
bin11101111111111011…
…11111101001101000
31112120102112100000110
432333331333221220
5230441013223030
611222050534320
71110053232552
oct167775775150
945512470013
1016105601640
116915212987
1231558973a0
13169890b5cb
14acadc04d2
15643e051b0
hex3bff7fa68

16105601640 has 128 divisors (see below), whose sum is σ = 49051059840. Its totient is φ = 4229738496.

The previous prime is 16105601597. The next prime is 16105601651. The reversal of 16105601640 is 4610650161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16105601598 and 16105601607.

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, 11238364 + ... + 11239796.

It is an arithmetic number, because the mean of its divisors is an integer number (383211405).

Almost surely, 216105601640 is an apocalyptic number.

16105601640 is a gapful number since it is divisible by the number (10) 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 16105601640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24525529920).

16105601640 is an abundant number, since it is smaller than the sum of its proper divisors (32945458200).

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

16105601640 is a wasteful number, since it uses less digits than its factorization.

16105601640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 16105601640 in words is "sixteen billion, one hundred five million, six hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1283 1433 1460 1752 2190 2566 2866 2920 3849 4299 4380 5132 5732 6415 7165 7698 8598 8760 10264 11464 12830 14330 15396 17196 19245 21495 25660 28660 30792 34392 38490 42990 51320 57320 76980 85980 93659 104609 153960 171960 187318 209218 280977 313827 374636 418436 468295 523045 561954 627654 749272 836872 936590 1046090 1123908 1255308 1404885 1569135 1838539 1873180 2092180 2247816 2510616 2809770 3138270 3677078 3746360 4184360 5515617 5619540 6276540 7354156 9192695 11031234 11239080 12553080 14708312 18385390 22062468 27578085 36770780 44124936 55156170 73541560 110312340 134213347 220624680 268426694 402640041 536853388 671066735 805280082 1073706776 1342133470 1610560164 2013200205 2684266940 3221120328 4026400410 5368533880 8052800820 16105601640