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5023789879680 = 2734511134116529
BaseRepresentation
bin100100100011011000100…
…1101100001000110000000
3122210021021112222020020000
41021012301031201012000
51124302210202122210
614403521444120000
71025646124255005
oct111066115410600
918707245866200
105023789879680
111667639465250
12691789096000
132a59839a1a50
1413521d1278ac
158aa31059ac0
hex491b1361180

5023789879680 has 1280 divisors, whose sum is σ = 21592763438400. Its totient is φ = 1096718745600.

The previous prime is 5023789879579. The next prime is 5023789879681. The reversal of 5023789879680 is 869789873205.

5023789879680 is a `hidden beast` number, since 5 + 0 + 2 + 378 + 98 + 7 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5023789879599 and 5023789879608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5023789879681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 303929656 + ... + 303946184.

Almost surely, 25023789879680 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 5023789879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796381719200).

5023789879680 is an abundant number, since it is smaller than the sum of its proper divisors (16568973558720).

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

5023789879680 is a wasteful number, since it uses less digits than its factorization.

5023789879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16625 (or 16604 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 5023789879680 in words is "five trillion, twenty-three billion, seven hundred eighty-nine million, eight hundred seventy-nine thousand, six hundred eighty".