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16046881452 = 223271915721347
BaseRepresentation
bin11101111000111011…
…11111101010101100
31112102100001001001200
432330131333222230
5230331000201302
611212152205500
71105441145640
oct167435775254
945370031050
1016046881452
1168950565a8
12313a099890
1316896bc034
14ac3296c20
1563dba681c
hex3bc77faac

16046881452 has 144 divisors (see below), whose sum is σ = 49110647040. Its totient is φ = 4315648896.

The previous prime is 16046881439. The next prime is 16046881453. The reversal of 16046881452 is 25418864061.

It is a happy number.

16046881452 is a `hidden beast` number, since 1 + 60 + 4 + 68 + 81 + 452 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16046881398 and 16046881407.

It is not an unprimeable number, because it can be changed into a prime (16046881453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741043 + ... + 762389.

It is an arithmetic number, because the mean of its divisors is an integer number (341046160).

Almost surely, 216046881452 is an apocalyptic number.

16046881452 is a gapful number since it is divisible by the number (12) 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 16046881452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555323520).

16046881452 is an abundant number, since it is smaller than the sum of its proper divisors (33063765588).

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

16046881452 is a wasteful number, since it uses less digits than its factorization.

16046881452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21540 (or 21535 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 16046881452 in words is "sixteen billion, forty-six million, eight hundred eighty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 157 171 228 252 266 314 342 399 471 532 628 684 798 942 1099 1197 1413 1596 1884 2198 2394 2826 2983 3297 4396 4788 5652 5966 6594 8949 9891 11932 13188 17898 19782 20881 21347 26847 35796 39564 41762 42694 53694 62643 64041 83524 85388 107388 125286 128082 149429 187929 192123 250572 256164 298858 375858 384246 405593 448287 597716 751716 768492 811186 896574 1216779 1344861 1622372 1793148 2433558 2689722 2839151 3351479 3650337 4867116 5379444 5678302 6702958 7300674 8517453 10054437 11356604 13405916 14601348 17034906 20108874 23460353 25552359 30163311 34069812 40217748 46920706 51104718 60326622 63678101 70381059 93841412 102209436 120653244 127356202 140762118 191034303 211143177 254712404 281524236 382068606 422286354 445746707 573102909 764137212 844572708 891493414 1146205818 1337240121 1782986828 2292411636 2674480242 4011720363 5348960484 8023440726 16046881452