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55044181081344 = 28371319241127419
BaseRepresentation
bin11001000001111111110001…
…10111000011110100000000
321012220011122121202212102010
430200333320313003310000
524203320440324100334
6313022540411452520
714410545056241510
oct1440777067036400
9235804577685363
1055044181081344
11165a2119248a14
12620bb20a57140
13249384ab50310
14d8421c96b840
15656c5ae5c0e9
hex320ff8dc3d00

55044181081344 has 1728 divisors, whose sum is σ = 196939322818560. Its totient is φ = 13280223559680.

The previous prime is 55044181081313. The next prime is 55044181081369. The reversal of 55044181081344 is 44318018144055.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 55044181081293 and 55044181081302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131370360367 + ... + 131370360785.

It is an arithmetic number, because the mean of its divisors is an integer number (113969515520).

Almost surely, 255044181081344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55044181081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98469661409280).

55044181081344 is an abundant number, since it is smaller than the sum of its proper divisors (141895141737216).

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

55044181081344 is a wasteful number, since it uses less digits than its factorization.

55044181081344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 55044181081344 in words is "fifty-five trillion, forty-four billion, one hundred eighty-one million, eighty-one thousand, three hundred forty-four".