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641136076 = 227192275309
BaseRepresentation
bin100110001101101…
…111010111001100
31122200102002100121
4212031233113030
52303112323301
6143341434324
721613365250
oct4615572714
91580362317
10641136076
112a99a5029
1215a86b9a4
13a2a9c579
1461214260
153b4463a1
hex2636f5cc

641136076 has 48 divisors (see below), whose sum is σ = 1355961600. Its totient is φ = 259115328.

The previous prime is 641136061. The next prime is 641136103. The reversal of 641136076 is 670631146.

It is a super-2 number, since 2×6411360762 = 822110935897355552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118110 + ... + 123418.

It is an arithmetic number, because the mean of its divisors is an integer number (28249200).

Almost surely, 2641136076 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 641136076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677980800).

641136076 is an abundant number, since it is smaller than the sum of its proper divisors (714825524).

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

641136076 is a wasteful number, since it uses less digits than its factorization.

641136076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 641136076 is about 25320.6649991662. The cubic root of 641136076 is about 862.2834915774.

The spelling of 641136076 in words is "six hundred forty-one million, one hundred thirty-six thousand, seventy-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 227 266 454 532 908 1589 3178 4313 5309 6356 8626 10618 17252 21236 30191 37163 60382 74326 100871 120764 148652 201742 403484 706097 1205143 1412194 2410286 2824388 4820572 8436001 16872002 22897717 33744004 45795434 91590868 160284019 320568038 641136076