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5441874480 = 24325710710091
BaseRepresentation
bin1010001000101110…
…00110101000110000
3112001020211212101200
411010113012220300
542121104440410
62255554131200
7251566112160
oct50427065060
915036755350
105441874480
112342883929
12107a580b00
13689571c93
14398a465a0
1521cb3c3c0
hex1445c6a30

5441874480 has 240 divisors, whose sum is σ = 21083721984. Its totient is φ = 1232110080.

The previous prime is 5441874457. The next prime is 5441874491. The reversal of 5441874480 is 844781445.

5441874480 is a `hidden beast` number, since 54 + 41 + 87 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×54418744802 = 59227995712150540800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534235 + ... + 544325.

Almost surely, 25441874480 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 5441874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541860992).

5441874480 is an abundant number, since it is smaller than the sum of its proper divisors (15641847504).

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

5441874480 is a wasteful number, since it uses less digits than its factorization.

5441874480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The square root of 5441874480 is about 73769.0618077796. The cubic root of 5441874480 is about 1758.9338498151.

The spelling of 5441874480 in words is "five billion, four hundred forty-one million, eight hundred seventy-four thousand, four hundred eighty".