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16680063672 = 2334171979693
BaseRepresentation
bin11111000100011010…
…11001001010111000
31121001110111000210000
433202031121022320
5233130044014142
611355051353000
71130230126146
oct174215311270
947043430700
1016680063672
11708a508798
123296152760
13175a93517c
14b433da596
1567957b14c
hex3e23592b8

16680063672 has 160 divisors (see below), whose sum is σ = 52072059600. Its totient is φ = 4957479936.

The previous prime is 16680063623. The next prime is 16680063733. The reversal of 16680063672 is 27636008661.

16680063672 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 0 + 0 + 636 + 7 + 2 = 666.

16680063672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169458 + ... + 249150.

Almost surely, 216680063672 is an apocalyptic number.

16680063672 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 16680063672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26036029800).

16680063672 is an abundant number, since it is smaller than the sum of its proper divisors (35391995928).

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

16680063672 is a wasteful number, since it uses less digits than its factorization.

16680063672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79747 (or 79734 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16680063672 in words is "sixteen billion, six hundred eighty million, sixty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 81 102 108 114 136 152 153 162 171 204 216 228 306 323 324 342 408 456 459 513 612 646 648 684 918 969 1026 1224 1292 1368 1377 1539 1836 1938 2052 2584 2754 2907 3078 3672 3876 4104 5508 5814 6156 7752 8721 11016 11628 12312 17442 23256 26163 34884 52326 69768 79693 104652 159386 209304 239079 318772 478158 637544 717237 956316 1354781 1434474 1514167 1912632 2151711 2709562 2868948 3028334 4064343 4303422 4542501 5419124 5737896 6056668 6455133 8128686 8606844 9085002 10838248 12113336 12193029 12910266 13627503 16257372 17213688 18170004 24386058 25740839 25820532 27255006 32514744 36340008 36579087 40882509 48772116 51481678 51641064 54510012 73158174 77222517 81765018 97544232 102963356 109020024 109737261 122647527 146316348 154445034 163530036 205926712 219474522 231667551 245295054 292632696 308890068 327060072 438949044 463335102 490590108 617780136 695002653 877898088 926670204 981180216 1390005306 1853340408 2085007959 2780010612 4170015918 5560021224 8340031836 16680063672