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5466246120 = 23365316047
BaseRepresentation
bin1010001011101000…
…00100101111101000
3112002221201002000000
411011310010233220
542143324333440
62302224343000
7252313216416
oct50564045750
915087632000
105466246120
11235560a685
121086774a60
1369162617a
1439bd8c2b6
1521ed53730
hex145d04be8

5466246120 has 224 divisors, whose sum is σ = 19038136320. Its totient is φ = 1410410880.

The previous prime is 5466246119. The next prime is 5466246133. The reversal of 5466246120 is 216426645.

5466246120 is a `hidden beast` number, since 5 + 4 + 6 + 624 + 6 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 900937 + ... + 906983.

It is an arithmetic number, because the mean of its divisors is an integer number (84991680).

Almost surely, 25466246120 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 5466246120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519068160).

5466246120 is an abundant number, since it is smaller than the sum of its proper divisors (13571890200).

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

5466246120 is a wasteful number, since it uses less digits than its factorization.

5466246120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5466246120 is about 73934.0660318368. The cubic root of 5466246120 is about 1761.5557567829. Note that the first 3 decimals are identical.

The spelling of 5466246120 in words is "five billion, four hundred sixty-six million, two hundred forty-six thousand, one hundred twenty".