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4493641694640 = 2435723089123701
BaseRepresentation
bin100000101100100000111…
…1010101011110110110000
3120220120212121122000221120
41001121001322223312300
51042110434233212030
613320203412422240
7642440426116200
oct101310172536660
916816777560846
104493641694640
11148281965114a
12606a93617980
13267996877137
141176c9d24400
157bd537cb010
hex41641eabdb0

4493641694640 has 240 divisors, whose sum is σ = 16209999145440. Its totient is φ = 1026777292800.

The previous prime is 4493641694567. The next prime is 4493641694653. The reversal of 4493641694640 is 464961463944.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36264790 + ... + 36388490.

It is an arithmetic number, because the mean of its divisors is an integer number (67541663106).

Almost surely, 24493641694640 is an apocalyptic number.

4493641694640 is a gapful number since it is divisible by the number (40) 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 4493641694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104999572720).

4493641694640 is an abundant number, since it is smaller than the sum of its proper divisors (11716357450800).

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

4493641694640 is a wasteful number, since it uses less digits than its factorization.

4493641694640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126820 (or 126807 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 4493641694640 in words is "four trillion, four hundred ninety-three billion, six hundred forty-one million, six hundred ninety-four thousand, six hundred forty".