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5458304880 = 24355740111
BaseRepresentation
bin1010001010101011…
…10001111101110000
3112002101202121200000
411011111301331300
542134311224010
62301342230000
7252155553210
oct50525617560
915071677600
105458304880
112351086276
121083b85300
1368caa5702
1439acc2240
1521e2d57c0
hex145571f70

5458304880 has 240 divisors, whose sum is σ = 21725942784. Its totient is φ = 1247581440.

The previous prime is 5458304849. The next prime is 5458304897. The reversal of 5458304880 is 884038545.

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

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116025 + ... + 156135.

Almost surely, 25458304880 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 5458304880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10862971392).

5458304880 is an abundant number, since it is smaller than the sum of its proper divisors (16267637904).

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

5458304880 is a wasteful number, since it uses less digits than its factorization.

5458304880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40146 (or 40128 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5458304880 is about 73880.3416342940. The cubic root of 5458304880 is about 1760.7022937619.

The spelling of 5458304880 in words is "five billion, four hundred fifty-eight million, three hundred four thousand, eight hundred eighty".