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12930516648 = 2334723123941
BaseRepresentation
bin11000000101011100…
…00000011010101000
31020101011001022020000
430002232000122220
5202440203013043
65535025503000
7635300402160
oct140256003250
936334038200
1012930516648
115535a375a5
12260a4a1a60
1312b0b843aa
148a943d5a0
1550a2c92d3
hex302b806a8

12930516648 has 160 divisors (see below), whose sum is σ = 43191308160. Its totient is φ = 3533777280.

The previous prime is 12930516629. The next prime is 12930516661. The reversal of 12930516648 is 84661503921.

12930516648 is a `hidden beast` number, since 1 + 2 + 93 + 0 + 516 + 6 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42358 + ... + 166298.

It is an arithmetic number, because the mean of its divisors is an integer number (269945676).

Almost surely, 212930516648 is an apocalyptic number.

12930516648 is a gapful number since it is divisible by the number (18) 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 12930516648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21595654080).

12930516648 is an abundant number, since it is smaller than the sum of its proper divisors (30260791512).

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

12930516648 is a wasteful number, since it uses less digits than its factorization.

12930516648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123989 (or 123976 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12930516648 in words is "twelve billion, nine hundred thirty million, five hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1656 1863 1932 2268 2484 2898 3726 3864 4347 4536 4968 5796 7452 8694 11592 13041 14904 17388 26082 34776 52164 104328 123941 247882 371823 495764 743646 867587 991528 1115469 1487292 1735174 2230938 2602761 2850643 2974584 3346407 3470348 4461876 5205522 5701286 6692814 6940696 7808283 8551929 8923752 10039221 10411044 11402572 13385628 15616566 17103858 19954501 20078442 20822088 22805144 23424849 25655787 26771256 31233132 34207716 39909002 40156884 46849698 51311574 59863503 62466264 68415432 70274547 76967361 79818004 80313768 93699396 102623148 119727006 140549094 153934722 159636008 179590509 187398792 205246296 230902083 239454012 281098188 307869444 359181018 461804166 478908024 538771527 562196376 615738888 718362036 923608332 1077543054 1436724072 1616314581 1847216664 2155086108 3232629162 4310172216 6465258324 12930516648