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641294530560 = 21133517472903
BaseRepresentation
bin10010101010100000010…
…00011111100000000000
32021022021220210120002000
421111100020133200000
541001332344434220
61210335011224000
764221606366255
oct11252010374000
92238256716060
10641294530560
11227a76053602
12a43542a8000
1348620c81388
142307874b42c
1511a35314390
hex955021f800

641294530560 has 768 divisors, whose sum is σ = 2465900236800. Its totient is φ = 157473570816.

The previous prime is 641294530537. The next prime is 641294530561. The reversal of 641294530560 is 65035492146.

641294530560 is a `hidden beast` number, since 6 + 4 + 12 + 9 + 45 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×6412945305602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641294530561) 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 63 ways as a sum of consecutive naturals, for example, 220906069 + ... + 220908971.

It is an arithmetic number, because the mean of its divisors is an integer number (3210807600).

Almost surely, 2641294530560 is an apocalyptic number.

641294530560 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 641294530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232950118400).

641294530560 is an abundant number, since it is smaller than the sum of its proper divisors (1824605706240).

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

641294530560 is a wasteful number, since it uses less digits than its factorization.

641294530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 641294530560 in words is "six hundred forty-one billion, two hundred ninety-four million, five hundred thirty thousand, five hundred sixty".