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1012712448 = 210311231303
BaseRepresentation
bin111100010111001…
…100010000000000
32121120121010022110
4330113030100000
54033223244243
6244253535320
734044625266
oct7427142000
92546533273
101012712448
1147a716940
122431a4540
13131a6b547
14986da436
155dd92e33
hex3c5cc400

1012712448 has 176 divisors, whose sum is σ = 3075019776. Its totient is φ = 293314560.

The previous prime is 1012712447. The next prime is 1012712453. The reversal of 1012712448 is 8442172101.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (1012712447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 776565 + ... + 777867.

Almost surely, 21012712448 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 1012712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537509888).

1012712448 is an abundant number, since it is smaller than the sum of its proper divisors (2062307328).

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

1012712448 is a wasteful number, since it uses less digits than its factorization.

1012712448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1012712448 is about 31823.1432765527. The cubic root of 1012712448 is about 1004.2196521580.

Adding to 1012712448 its reverse (8442172101), we get a palindrome (9454884549).

The spelling of 1012712448 in words is "one billion, twelve million, seven hundred twelve thousand, four hundred forty-eight".