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1010084616 = 233229483757
BaseRepresentation
bin111100001101001…
…010101100001000
32121101122121121100
4330031022230020
54032040201431
6244121341400
734013402052
oct7415125410
92541577540
101010084616
11479191582
12242337860
1313135b408
14982148d2
155da244e6
hex3c34ab08

1010084616 has 48 divisors (see below), whose sum is σ = 2829984300. Its totient is φ = 325084032.

The previous prime is 1010084611. The next prime is 1010084617. The reversal of 1010084616 is 6164800101.

It can be written as a sum of positive squares in 2 ways, for example, as 894608100 + 115476516 = 29910^2 + 10746^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1010084616.

It is not an unprimeable number, because it can be changed into a prime (1010084611) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 239791 + ... + 243966.

Almost surely, 21010084616 is an apocalyptic number.

It is an amenable number.

1010084616 is an abundant number, since it is smaller than the sum of its proper divisors (1819899684).

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

1010084616 is a wasteful number, since it uses less digits than its factorization.

1010084616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483798 (or 483791 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1010084616 is about 31781.8283929669. The cubic root of 1010084616 is about 1003.3503016106.

Adding to 1010084616 its reverse (6164800101), we get a palindrome (7174884717).

The spelling of 1010084616 in words is "one billion, ten million, eighty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 483757 967514 1451271 1935028 2902542 3870056 4353813 5805084 8707626 11610168 14028953 17415252 28057906 34830504 42086859 56115812 84173718 112231624 126260577 168347436 252521154 336694872 505042308 1010084616