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10104486216 = 233111911317827
BaseRepresentation
bin10010110100100011…
…00011100101001000
3222002012101002021020
421122101203211020
5131143222024331
64350354112440
7505253500326
oct113221434510
928065332236
1010104486216
1143157a0060
121b5bb7b720
13c50541c36
146bbda0d16
153e214bc96
hex25a463948

10104486216 has 128 divisors (see below), whose sum is σ = 29266444800. Its totient is φ = 2874977280.

The previous prime is 10104486181. The next prime is 10104486221. The reversal of 10104486216 is 61268440101.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 557895 + ... + 575721.

It is an arithmetic number, because the mean of its divisors is an integer number (228644100).

Almost surely, 210104486216 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 10104486216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633222400).

10104486216 is an abundant number, since it is smaller than the sum of its proper divisors (19161958584).

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

10104486216 is a wasteful number, since it uses less digits than its factorization.

10104486216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17979 (or 17975 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 10104486216 in words is "ten billion, one hundred four million, four hundred eighty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 113 114 132 152 209 226 228 264 339 418 452 456 627 678 836 904 1243 1254 1356 1672 2147 2486 2508 2712 3729 4294 4972 5016 6441 7458 8588 9944 12882 14916 17176 17827 23617 25764 29832 35654 47234 51528 53481 70851 71308 94468 106962 141702 142616 188936 196097 213924 283404 338713 392194 427848 566808 588291 677426 784388 1016139 1176582 1354852 1568776 2014451 2032278 2353164 2709704 3725843 4028902 4064556 4706328 6043353 7451686 8057804 8129112 11177529 12086706 14903372 16115608 22158961 22355058 24173412 29806744 38274569 44317922 44710116 48346824 66476883 76549138 88635844 89420232 114823707 132953766 153098276 177271688 229647414 265907532 306196552 421020259 459294828 531815064 842040518 918589656 1263060777 1684081036 2526121554 3368162072 5052243108 10104486216