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655272441120 = 253511222350593
BaseRepresentation
bin10011000100100010100…
…01111111010100100000
32022122101001200222122010
421202101101333110200
541213444221103440
61221010014312520
765225155564143
oct11422121772440
92278331628563
10655272441120
11232999234700
12a6bb54b8740
1349a3ab27a7b
1423a02d1405a
15120a2532580
hex989147f520

655272441120 has 288 divisors, whose sum is σ = 2279032229376. Its totient is φ = 158138449920.

The previous prime is 655272441119. The next prime is 655272441137. The reversal of 655272441120 is 21144272556.

It is a Cunningham number, because it is equal to 8094892-1.

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 47 ways as a sum of consecutive naturals, for example, 12926544 + ... + 12977136.

It is an arithmetic number, because the mean of its divisors is an integer number (7913306352).

Almost surely, 2655272441120 is an apocalyptic number.

655272441120 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 655272441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139516114688).

655272441120 is an abundant number, since it is smaller than the sum of its proper divisors (1623759788256).

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

655272441120 is a wasteful number, since it uses less digits than its factorization.

655272441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50856 (or 50837 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 655272441120 in words is "six hundred fifty-five billion, two hundred seventy-two million, four hundred forty-one thousand, one hundred twenty".