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4436106561 = 33418348281
BaseRepresentation
bin1000010000110100…
…11001110101000001
3102110011022120012000
410020122121311001
533041120402221
62012105054213
7214634166165
oct41032316501
912404276160
104436106561
111977080577
12a39787369
13559095633
14301236ca5
151ae6bbe26
hex108699d41

4436106561 has 32 divisors (see below), whose sum is σ = 6813555840. Its totient is φ = 2850451200.

The previous prime is 4436106553. The next prime is 4436106581. The reversal of 4436106561 is 1656016344.

It is a happy number.

It is not a de Polignac number, because 4436106561 - 23 = 4436106553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4436106551) 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 31 ways as a sum of consecutive naturals, for example, 67741 + ... + 116021.

It is an arithmetic number, because the mean of its divisors is an integer number (212923620).

Almost surely, 24436106561 is an apocalyptic number.

4436106561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4436106561 is a deficient number, since it is larger than the sum of its proper divisors (2377449279).

4436106561 is a wasteful number, since it uses less digits than its factorization.

4436106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48414 (or 48408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4436106561 is about 66604.1031844135. The cubic root of 4436106561 is about 1643.1125898305.

The spelling of 4436106561 in words is "four billion, four hundred thirty-six million, one hundred six thousand, five hundred sixty-one".

Divisors: 1 3 9 27 41 83 123 249 369 747 1107 2241 3403 10209 30627 48281 91881 144843 434529 1303587 1979521 4007323 5938563 12021969 17815689 36065907 53447067 108197721 164300243 492900729 1478702187 4436106561