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2112886848 = 263163181373
BaseRepresentation
bin111110111110000…
…0001100001000000
312110020202202212110
41331330001201000
513311344334343
6545354255320
7103234145652
oct17574014100
95406682773
102112886848
11994740186
124ab727540
13278980707
141608826d2
15c5760833
hex7df01840

2112886848 has 112 divisors (see below), whose sum is σ = 5670881216. Its totient is φ = 694241280.

The previous prime is 2112886793. The next prime is 2112886859. The reversal of 2112886848 is 8486882112.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2112886797 and 2112886806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5664390 + ... + 5664762.

It is an arithmetic number, because the mean of its divisors is an integer number (50632868).

Almost surely, 22112886848 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 2112886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835440608).

2112886848 is an abundant number, since it is smaller than the sum of its proper divisors (3557994368).

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

2112886848 is a wasteful number, since it uses less digits than its factorization.

2112886848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 722 counting only the distinct ones).

The product of its digits is 393216, while the sum is 48.

The square root of 2112886848 is about 45966.1489359289. The cubic root of 2112886848 is about 1283.1932899113.

The spelling of 2112886848 in words is "two billion, one hundred twelve million, eight hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 163 181 192 326 362 373 489 543 652 724 746 978 1086 1119 1304 1448 1492 1956 2172 2238 2608 2896 2984 3912 4344 4476 5216 5792 5968 7824 8688 8952 10432 11584 11936 15648 17376 17904 23872 29503 31296 34752 35808 59006 60799 67513 71616 88509 118012 121598 135026 177018 182397 202539 236024 243196 270052 354036 364794 405078 472048 486392 540104 708072 729588 810156 944096 972784 1080208 1416144 1459176 1620312 1888192 1945568 2160416 2832288 2918352 3240624 3891136 4320832 5664576 5836704 6481248 11004619 11673408 12962496 22009238 33013857 44018476 66027714 88036952 132055428 176073904 264110856 352147808 528221712 704295616 1056443424 2112886848