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12649728784 = 2471123538423
BaseRepresentation
bin10111100011111101…
…11000101100010000
31012122120200210200111
423301332320230100
5201401312310114
65451115331104
7625320630520
oct136176705420
935576623614
1012649728784
115401495510
122550450a94
131267952224
1488002b680
154e0812bc4
hex2f1fb8b10

12649728784 has 160 divisors (see below), whose sum is σ = 32490491904. Its totient is φ = 4624688640.

The previous prime is 12649728779. The next prime is 12649728799. The reversal of 12649728784 is 48782794621.

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, 1497597 + ... + 1506019.

Almost surely, 212649728784 is an apocalyptic number.

12649728784 is a gapful number since it is divisible by the number (14) 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 12649728784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16245245952).

12649728784 is an abundant number, since it is smaller than the sum of its proper divisors (19840763120).

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

12649728784 is a wasteful number, since it uses less digits than its factorization.

12649728784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8525 (or 8519 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 58.

The spelling of 12649728784 in words is "twelve billion, six hundred forty-nine million, seven hundred twenty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 53 56 77 88 92 106 112 154 161 176 184 212 253 308 322 368 371 424 506 583 616 644 742 848 1012 1166 1219 1232 1288 1484 1771 2024 2332 2438 2576 2968 3542 4048 4081 4664 4876 5936 7084 8162 8423 8533 9328 9752 13409 14168 16324 16846 17066 19504 26818 28336 32648 33692 34132 53636 58961 65296 67384 68264 92653 93863 107272 117922 134768 136528 185306 187726 193729 214544 235844 370612 375452 387458 446419 471688 648571 741224 750904 774916 892838 943376 1297142 1356103 1482448 1501808 1549832 1785676 2131019 2594284 2712206 3099664 3124933 3571352 4262038 4910609 5188568 5424412 6249866 7142704 8524076 9821218 10267637 10377136 10848824 12499732 14917133 17048152 19642436 20535274 21697648 24999464 29834266 34096304 34374263 39284872 41070548 49998928 59668532 68748526 71873459 78569744 82141096 112944007 119337064 137497052 143746918 164282192 225888014 238674128 274994104 287493836 451776028 549988208 574987672 790608049 903552056 1149975344 1581216098 1807104112 3162432196 6324864392 12649728784