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655889806080 = 28335315311551
BaseRepresentation
bin10011000101101100001…
…01000011001100000000
32022200222002101101011000
421202312011003030000
541221230242243310
61221151150452000
765246363236035
oct11426605031400
92280862341130
10655889806080
11233185773083
12a7148204000
1349b089c3592
1423a60cdb38c
15120db8304c0
hex98b6143300

655889806080 has 576 divisors, whose sum is σ = 2448122019840. Its totient is φ = 166053888000.

The previous prime is 655889806073. The next prime is 655889806127. The reversal of 655889806080 is 80608988556.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 655889805999 and 655889806017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56776305 + ... + 56787855.

It is an arithmetic number, because the mean of its divisors is an integer number (4250211840).

Almost surely, 2655889806080 is an apocalyptic number.

655889806080 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 655889806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224061009920).

655889806080 is an abundant number, since it is smaller than the sum of its proper divisors (1792232213760).

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

655889806080 is a wasteful number, since it uses less digits than its factorization.

655889806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 655889806080 in words is "six hundred fifty-five billion, eight hundred eighty-nine million, eight hundred six thousand, eighty".