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2328052328448 = 211371123114431
BaseRepresentation
bin100001111000001010101…
…110110110100000000000
322020120002222011210222220
4201320022232312200000
5301120322344002243
64541254212531040
7330124210200510
oct41701256664000
98216088153886
102328052328448
11818359935700
12317238020a80
1313b6c40a2ba2
148096d4c3840
15408582dc783
hex21e0abb6800

2328052328448 has 576 divisors, whose sum is σ = 8048816455680. Its totient is φ = 585142272000.

The previous prime is 2328052328429. The next prime is 2328052328507. The reversal of 2328052328448 is 8448232508232.

It is a self number, because there is not a number n which added to its sum of digits gives 2328052328448.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161315793 + ... + 161330223.

It is an arithmetic number, because the mean of its divisors is an integer number (13973639680).

Almost surely, 22328052328448 is an apocalyptic number.

2328052328448 is a gapful number since it is divisible by the number (28) 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 2328052328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024408227840).

2328052328448 is an abundant number, since it is smaller than the sum of its proper divisors (5720764127232).

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

2328052328448 is a wasteful number, since it uses less digits than its factorization.

2328052328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14516 (or 14485 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 2328052328448 in words is "two trillion, three hundred twenty-eight billion, fifty-two million, three hundred twenty-eight thousand, four hundred forty-eight".