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16466125056 = 283127401421
BaseRepresentation
bin11110101010111010…
…10010000100000000
31120111112220211011120
433111131102010000
5232210312000211
611321530112240
71122021516333
oct172535220400
946445824146
1016466125056
116a8a775517
12323657b680
13172550a684
14b22c2a61a
156658bbd06
hex3d5752100

16466125056 has 144 divisors (see below), whose sum is σ = 44384299008. Its totient is φ = 5419008000.

The previous prime is 16466125051. The next prime is 16466125057. The reversal of 16466125056 is 65052166461.

It is a super-2 number, since 2×164661250562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16466124999 and 16466125017.

It is not an unprimeable number, because it can be changed into a prime (16466125051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39111726 + ... + 39112146.

Almost surely, 216466125056 is an apocalyptic number.

16466125056 is a gapful number since it is divisible by the number (16) 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 16466125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192149504).

16466125056 is an abundant number, since it is smaller than the sum of its proper divisors (27918173952).

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

16466125056 is a wasteful number, since it uses less digits than its factorization.

16466125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 16466125056 in words is "sixteen billion, four hundred sixty-six million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 401 421 508 762 768 802 842 1016 1203 1263 1524 1604 1684 2032 2406 2526 3048 3208 3368 4064 4812 5052 6096 6416 6736 8128 9624 10104 12192 12832 13472 16256 19248 20208 24384 25664 26944 32512 38496 40416 48768 50927 51328 53467 53888 76992 80832 97536 101854 102656 106934 107776 152781 153984 160401 161664 168821 203708 213868 305562 307968 320802 323328 337642 407416 427736 506463 611124 641604 675284 814832 855472 1012926 1222248 1283208 1350568 1629664 1710944 2025852 2444496 2566416 2701136 3259328 3421888 4051704 4888992 5132832 5402272 6518656 6843776 8103408 9777984 10265664 10804544 13037312 13687552 16206816 19555968 20531328 21440267 21609088 32413632 39111936 41062656 42880534 43218176 64320801 64827264 85761068 128641602 129654528 171522136 257283204 343044272 514566408 686088544 1029132816 1372177088 2058265632 2744354176 4116531264 5488708352 8233062528 16466125056