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2155946112 = 27331932833
BaseRepresentation
bin1000000010000001…
…0010000010000000
312120020210102002000
42000200102002000
513403410233422
6553533224000
7104266145115
oct20040220200
95506712060
102155946112
11a06a80251
12502032000
13284878878
1416649090c
15c9418cac
hex80812080

2155946112 has 128 divisors (see below), whose sum is σ = 6698136000. Its totient is φ = 680804352.

The previous prime is 2155946087. The next prime is 2155946141. The reversal of 2155946112 is 2116495512.

2155946112 is a `hidden beast` number, since 2 + 1 + 5 + 594 + 61 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49248 + ... + 82080.

Almost surely, 22155946112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349068000).

2155946112 is an abundant number, since it is smaller than the sum of its proper divisors (4542189888).

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

2155946112 is a wasteful number, since it uses less digits than its factorization.

2155946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32875 (or 32857 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 2155946112 is about 46432.1667812304. The cubic root of 2155946112 is about 1291.8516189701.

The spelling of 2155946112 in words is "two billion, one hundred fifty-five million, nine hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 32833 65664 65666 98499 131332 196998 262664 295497 393996 525328 590994 623827 787992 886491 1050656 1181988 1247654 1575984 1772982 1871481 2101312 2363976 2495308 3151968 3545964 3742962 4202624 4727952 4990616 5614443 6303936 7091928 7485924 9455904 9981232 11228886 12607872 14183856 14971848 16843329 18911808 19962464 22457772 28367712 29943696 33686658 37823616 39924928 44915544 56735424 59887392 67373316 79849856 89831088 113470848 119774784 134746632 179662176 239549568 269493264 359324352 538986528 718648704 1077973056 2155946112