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5460052548744 = 2333192414014259
BaseRepresentation
bin100111101110100010001…
…1111100001110010001000
3201022222100110011001111000
41033131010133201302020
51203424141423024434
615340151415135000
71102322122622163
oct117350437416210
921288313131430
105460052548744
111815660358632
12742240674460
13307b5accb001
1414c3a739aada
159706629cb99
hex4f7447e1c88

5460052548744 has 384 divisors, whose sum is σ = 16442247024000. Its totient is φ = 1677583872000.

The previous prime is 5460052548721. The next prime is 5460052548757. The reversal of 5460052548744 is 4478452500645.

5460052548744 is a `hidden beast` number, since 5 + 4 + 6 + 0 + 0 + 52 + 548 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1282001287 + ... + 1282005545.

It is an arithmetic number, because the mean of its divisors is an integer number (42818351625).

Almost surely, 25460052548744 is an apocalyptic number.

5460052548744 is a gapful number since it is divisible by the number (54) 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 5460052548744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221123512000).

5460052548744 is an abundant number, since it is smaller than the sum of its proper divisors (10982194475256).

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

5460052548744 is a wasteful number, since it uses less digits than its factorization.

5460052548744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 5460052548744 in words is "five trillion, four hundred sixty billion, fifty-two million, five hundred forty-eight thousand, seven hundred forty-four".