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12903384648 = 2337119771983
BaseRepresentation
bin11000000010001101…
…00000011001001000
31020022020222212010010
430001012200121020
5202411231302043
65532220151520
7634520650140
oct140106403110
936266885103
1012903384648
115521695960
1226013985a0
1312a837495b
148a59b9920
15507c1a133
hex3011a0648

12903384648 has 128 divisors (see below), whose sum is σ = 40633528320. Its totient is φ = 3316930560.

The previous prime is 12903384643. The next prime is 12903384661. The reversal of 12903384648 is 84648330921.

It is a junction number, because it is equal to n+sod(n) for n = 12903384597 and 12903384606.

It is not an unprimeable number, because it can be changed into a prime (12903384643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143265 + ... + 215247.

It is an arithmetic number, because the mean of its divisors is an integer number (317449440).

Almost surely, 212903384648 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 12903384648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316764160).

12903384648 is an abundant number, since it is smaller than the sum of its proper divisors (27730143672).

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

12903384648 is a wasteful number, since it uses less digits than its factorization.

12903384648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72107 (or 72103 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 12903384648 in words is "twelve billion, nine hundred three million, three hundred eighty-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 97 132 154 168 194 231 264 291 308 388 462 582 616 679 776 924 1067 1164 1358 1848 2037 2134 2328 2716 3201 4074 4268 5432 6402 7469 8148 8536 12804 14938 16296 22407 25608 29876 44814 59752 71983 89628 143966 179256 215949 287932 431898 503881 575864 791813 863796 1007762 1511643 1583626 1727592 2015524 2375439 3023286 3167252 4031048 4750878 5542691 6046572 6334504 6982351 9501756 11085382 12093144 13964702 16628073 19003512 20947053 22170764 27929404 33256146 41894106 44341528 48876457 55858808 66512292 76805861 83788212 97752914 133024584 146629371 153611722 167576424 195505828 230417583 293258742 307223444 391011656 460835166 537641027 586517484 614446888 921670332 1075282054 1173034968 1612923081 1843340664 2150564108 3225846162 4301128216 6451692324 12903384648