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5198230805760 = 28355193723773
BaseRepresentation
bin100101110100100111010…
…1100110101110100000000
3200101221112122100102200000
41023221032230311310000
51140131434041241020
615020011222400000
71044363001544346
oct113511654656400
920357478312600
105198230805760
111724614854963
126bb550b90000
132b92639bb035
1413d84a8cd996
15903406c5090
hex4ba4eb35d00

5198230805760 has 864 divisors, whose sum is σ = 20164589477760. Its totient is φ = 1277690609664.

The previous prime is 5198230805753. The next prime is 5198230805771. The reversal of 5198230805760 is 675080328915.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 5198230805697 and 5198230805706.

It is a congruent number.

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, 218649234 + ... + 218673006.

Almost surely, 25198230805760 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 5198230805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082294738880).

5198230805760 is an abundant number, since it is smaller than the sum of its proper divisors (14966358672000).

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

5198230805760 is a wasteful number, since it uses less digits than its factorization.

5198230805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23865 (or 23839 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5198230805760 in words is "five trillion, one hundred ninety-eight billion, two hundred thirty million, eight hundred five thousand, seven hundred sixty".