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5466775104 = 263373161239
BaseRepresentation
bin1010001011101100…
…00101111001000000
3112002222200221122000
411011312011321000
542143443300404
62302243544000
7252320551560
oct50566057100
915088627560
105466775104
11235594105a
12108698b000
1369177cb8b
1439c088da0
1521ee0a339
hex145d85e40

5466775104 has 448 divisors, whose sum is σ = 19351142400. Its totient is φ = 1480550400.

The previous prime is 5466775091. The next prime is 5466775129. The reversal of 5466775104 is 4015776645.

5466775104 is a `hidden beast` number, since 5 + 4 + 66 + 77 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 5466775104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22873417 + ... + 22873655.

Almost surely, 25466775104 is an apocalyptic number.

5466775104 is a gapful number since it is divisible by the number (54) 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 5466775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9675571200).

5466775104 is an abundant number, since it is smaller than the sum of its proper divisors (13884367296).

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

5466775104 is a wasteful number, since it uses less digits than its factorization.

5466775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5466775104 is about 73937.6433489735. The cubic root of 5466775104 is about 1761.6125785172.

The spelling of 5466775104 in words is "five billion, four hundred sixty-six million, seven hundred seventy-five thousand, one hundred four".