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5684661632 = 27136750989
BaseRepresentation
bin1010100101101010…
…10000110110000000
3112200011200201202102
411102311100312000
543120233133012
62340030005532
7260604553346
oct52265206600
915604621672
105684661632
112457930471
1211279468a8
136c795a610
143bcda5996
152340e92c2
hex152d50d80

5684661632 has 64 divisors (see below), whose sum is σ = 12378332400. Its totient is φ = 2584479744.

The previous prime is 5684661613. The next prime is 5684661649. The reversal of 5684661632 is 2361664865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85994 + ... + 136982.

Almost surely, 25684661632 is an apocalyptic number.

5684661632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5684661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189166200).

5684661632 is an abundant number, since it is smaller than the sum of its proper divisors (6693670768).

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

5684661632 is a wasteful number, since it uses less digits than its factorization.

5684661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51083 (or 51071 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 47.

The square root of 5684661632 is about 75396.6950999843. The cubic root of 5684661632 is about 1784.7122575726.

The spelling of 5684661632 in words is "five billion, six hundred eighty-four million, six hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 268 416 536 832 871 1072 1664 1742 2144 3484 4288 6968 8576 13936 27872 50989 55744 101978 111488 203956 407912 662857 815824 1325714 1631648 2651428 3263296 3416263 5302856 6526592 6832526 10605712 13665052 21211424 27330104 42422848 44411419 54660208 84845696 88822838 109320416 177645676 218640832 355291352 437281664 710582704 1421165408 2842330816 5684661632