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54446191072 = 25713531911847
BaseRepresentation
bin110010101101001111…
…101111000111100000
312012112110010002011021
4302231033233013200
51343001211103242
641002350455224
73635140662640
oct625517570740
9165473102137
1054446191072
11210aa501229
12a675b04514
135198c56510
1428c7030520
151639da4b67
hexcad3ef1e0

54446191072 has 192 divisors, whose sum is σ = 135193411584. Its totient is φ = 21010728960.

The previous prime is 54446191067. The next prime is 54446191073. The reversal of 54446191072 is 27019164445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54446191073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29477253 + ... + 29479099.

It is an arithmetic number, because the mean of its divisors is an integer number (704132352).

Almost surely, 254446191072 is an apocalyptic number.

54446191072 is a gapful number since it is divisible by the number (52) 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 54446191072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67596705792).

54446191072 is an abundant number, since it is smaller than the sum of its proper divisors (80747220512).

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

54446191072 is a wasteful number, since it uses less digits than its factorization.

54446191072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 54446191072 in words is "fifty-four billion, four hundred forty-six million, one hundred ninety-one thousand, seventy-two".