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2112668448 = 253112000633
BaseRepresentation
bin111110111101100…
…1100001100100000
312110020100200021120
41331323030030200
513311320342243
6545345452240
7103232246142
oct17573141440
95406320246
102112668448
11994601090
124ab641080
13278905197
14160826c92
15c571ac83
hex7decc320

2112668448 has 48 divisors (see below), whose sum is σ = 6049917216. Its totient is φ = 640202240.

The previous prime is 2112668447. The next prime is 2112668491. The reversal of 2112668448 is 8448662112.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2112668447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999261 + ... + 1001372.

It is an arithmetic number, because the mean of its divisors is an integer number (126039942).

Almost surely, 22112668448 is an apocalyptic number.

It is an amenable number.

2112668448 is an abundant number, since it is smaller than the sum of its proper divisors (3937248768).

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

2112668448 is a wasteful number, since it uses less digits than its factorization.

2112668448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000657 (or 2000649 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2112668448 is about 45963.7732132600. The cubic root of 2112668448 is about 1283.1490756693.

The spelling of 2112668448 in words is "two billion, one hundred twelve million, six hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2000633 4001266 6001899 8002532 12003798 16005064 22006963 24007596 32010128 44013926 48015192 64020256 66020889 88027852 96030384 132041778 176055704 192060768 264083556 352111408 528167112 704222816 1056334224 2112668448