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5230356366144 = 2637213232278191
BaseRepresentation
bin100110000011100100110…
…0010001000001101000000
3200112000110112020222201210
41030013021202020031000
51141143232212204034
615042443104530120
71046611051365300
oct114071142101500
920460415228653
105230356366144
1117371aa8a4968
12705817920940
132bc2b3550270
14141217359600
15910c0c148e9
hex4c1c9888340

5230356366144 has 672 divisors, whose sum is σ = 18171996143616. Its totient is φ = 1313486254080.

The previous prime is 5230356366143. The next prime is 5230356366149. The reversal of 5230356366144 is 4416636530325.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×52303563661443 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5230356366093 and 5230356366102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5230356366143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638545089 + ... + 638553279.

It is an arithmetic number, because the mean of its divisors is an integer number (27041660928).

Almost surely, 25230356366144 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 5230356366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9085998071808).

5230356366144 is an abundant number, since it is smaller than the sum of its proper divisors (12941639777472).

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

5230356366144 is a wasteful number, since it uses less digits than its factorization.

5230356366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8483 (or 8466 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 5230356366144 in words is "five trillion, two hundred thirty billion, three hundred fifty-six million, three hundred sixty-six thousand, one hundred forty-four".