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28230660864000 = 2113353721941107
BaseRepresentation
bin1100110101100111101101…
…00000110011100000000000
310200221211021021221212101000
412122303312200303200000
512200012343140122000
6140012553033012000
75642412044026200
oct632636640634000
9120854237855330
1028230660864000
118aa46130a43a1
1231bb35b254000
13129a1a847802a
146d852aad4400
1533e526ddb000
hex19acf6833800

28230660864000 has 4608 divisors, whose sum is σ = 132134550912000. Its totient is φ = 5908267008000.

The previous prime is 28230660863989. The next prime is 28230660864011. The reversal of 28230660864000 is 46806603282.

28230660864000 is a `hidden beast` number, since 2 + 8 + 2 + 30 + 6 + 608 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28230660863989) and next prime (28230660864011).

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 263837951947 + ... + 263837952053.

It is an arithmetic number, because the mean of its divisors is an integer number (28675032750).

Almost surely, 228230660864000 is an apocalyptic number.

28230660864000 is a gapful number since it is divisible by the number (20) 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 28230660864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66067275456000).

28230660864000 is an abundant number, since it is smaller than the sum of its proper divisors (103903890048000).

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

28230660864000 is a wasteful number, since it uses less digits than its factorization.

28230660864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28230660864000 in words is "twenty-eight trillion, two hundred thirty billion, six hundred sixty million, eight hundred sixty-four thousand".