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641169536 = 2776111731
BaseRepresentation
bin100110001101110…
…111100010000000
31122200110210020212
4212031313202000
52303114411121
6143342253252
721613564640
oct4615674200
91580423225
10641169536
112a9a18187
1215a887228
13a2ab1877
1461222520
153b45125b
hex26377880

641169536 has 64 divisors (see below), whose sum is σ = 1483863360. Its totient is φ = 270259200.

The previous prime is 641169509. The next prime is 641169539. The reversal of 641169536 is 635961146.

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

It is a super-2 number, since 2×6411695362 = 822196747788910592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 641169493 and 641169502.

It is not an unprimeable number, because it can be changed into a prime (641169539) 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 7 ways as a sum of consecutive naturals, for example, 48791 + ... + 60521.

It is an arithmetic number, because the mean of its divisors is an integer number (23185365).

Almost surely, 2641169536 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 641169536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741931680).

641169536 is an abundant number, since it is smaller than the sum of its proper divisors (842693824).

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

641169536 is a wasteful number, since it uses less digits than its factorization.

641169536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11813 (or 11801 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 641169536 is about 25321.3257156887. The cubic root of 641169536 is about 862.2984917751.

The spelling of 641169536 in words is "six hundred forty-one million, one hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 896 976 1708 1952 3416 3904 6832 7808 11731 13664 23462 27328 46924 54656 82117 93848 164234 187696 328468 375392 656936 715591 750784 1313872 1431182 1501568 2627744 2862364 5009137 5255488 5724728 10018274 10510976 11449456 20036548 22898912 40073096 45797824 80146192 91595648 160292384 320584768 641169536