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5474221369344 = 2113272131953463
BaseRepresentation
bin100111110101001000100…
…0001010010100000000000
3201101022220220021201101100
41033222101001102200000
51204142201132304334
615350453402134400
71103333210615100
oct117522101224000
921338826251340
105474221369344
111820671283222
12744b357b1400
133092a8598420
1414cd4d05b200
15975e512bc99
hex4fa91052800

5474221369344 has 1728 divisors, whose sum is σ = 21288344313600. Its totient is φ = 1339058552832.

The previous prime is 5474221369327. The next prime is 5474221369369. The reversal of 5474221369344 is 4439631224745.

5474221369344 is a `hidden beast` number, since 5 + 4 + 74 + 221 + 3 + 6 + 9 + 344 = 666.

Its product of digits (17418240) is a multiple of the sum of its prime divisors (560).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11823372057 + ... + 11823372519.

It is an arithmetic number, because the mean of its divisors is an integer number (12319643700).

Almost surely, 25474221369344 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 5474221369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10644172156800).

5474221369344 is an abundant number, since it is smaller than the sum of its proper divisors (15814122944256).

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

5474221369344 is a wasteful number, since it uses less digits than its factorization.

5474221369344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 560 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 5474221369344 in words is "five trillion, four hundred seventy-four billion, two hundred twenty-one million, three hundred sixty-nine thousand, three hundred forty-four".