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5054356605760 = 2657118311321871
BaseRepresentation
bin100100110001100111100…
…1000010100101101000000
3122220012011210122210121221
41021203033020110231000
51130302310242341020
614425534523124424
71031110445200330
oct111431710245500
918805153583557
105054356605760
1116795a459aa40
12697699973714
132a88155b2507
141368bc9370c0
158b71e7cc6aa
hex498cf214b40

5054356605760 has 448 divisors, whose sum is σ = 15321413689344. Its totient is φ = 1542559334400.

The previous prime is 5054356605731. The next prime is 5054356605761. The reversal of 5054356605760 is 675066534505.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 5054356605698 and 5054356605707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5054356605761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 231087625 + ... + 231109495.

It is an arithmetic number, because the mean of its divisors is an integer number (34199584128).

Almost surely, 25054356605760 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 5054356605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660706844672).

5054356605760 is an abundant number, since it is smaller than the sum of its proper divisors (10267057083584).

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

5054356605760 is a wasteful number, since it uses less digits than its factorization.

5054356605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22102 (or 22092 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 52.

The spelling of 5054356605760 in words is "five trillion, fifty-four billion, three hundred fifty-six million, six hundred five thousand, seven hundred sixty".