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641996160 = 27351317289
BaseRepresentation
bin100110010001000…
…001010110000000
31122202000210011120
4212101001112000
52303322334120
6143412112240
721623606631
oct4621012600
91582023146
10641996160
112aa432243
1215b005680
13a3010bb0
1461399888
153b566140
hex26441580

641996160 has 384 divisors, whose sum is σ = 2367338400. Its totient is φ = 147062784.

The previous prime is 641996141. The next prime is 641996167. The reversal of 641996160 is 61699146.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641996167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7213396 + ... + 7213484.

Almost surely, 2641996160 is an apocalyptic number.

641996160 is a gapful number since it is divisible by the number (60) 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 641996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183669200).

641996160 is an abundant number, since it is smaller than the sum of its proper divisors (1725342240).

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

641996160 is a wasteful number, since it uses less digits than its factorization.

641996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 641996160 is about 25337.6431421709. The cubic root of 641996160 is about 862.6689036994.

The spelling of 641996160 in words is "six hundred forty-one million, nine hundred ninety-six thousand, one hundred sixty".