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2012744448 = 2832111341149
BaseRepresentation
bin111011111111000…
…0000101100000000
312012021100000022200
41313332000230000
513110230310243
6531420033200
7100610021421
oct16776005400
95167300280
102012744448
11943161770
12482092800
13260cba160
14151455648
15bba7dad3
hex77f80b00

2012744448 has 432 divisors, whose sum is σ = 7030951200. Its totient is φ = 545587200.

The previous prime is 2012744443. The next prime is 2012744477. The reversal of 2012744448 is 8444472102.

2012744448 is a `hidden beast` number, since 201 + 2 + 7 + 4 + 4 + 448 = 666.

It is a super-2 number, since 2×20127444482 = 8102280425909649408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2012744441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13508278 + ... + 13508426.

It is an arithmetic number, because the mean of its divisors is an integer number (16275350).

Almost surely, 22012744448 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 2012744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515475600).

2012744448 is an abundant number, since it is smaller than the sum of its proper divisors (5018206752).

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

2012744448 is a wasteful number, since it uses less digits than its factorization.

2012744448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 2012744448 is about 44863.6205404780. The cubic root of 2012744448 is about 1262.5915519400.

The spelling of 2012744448 in words is "two billion, twelve million, seven hundred forty-four thousand, four hundred forty-eight".