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5474504448 = 28337113147
BaseRepresentation
bin1010001100100111…
…00100111100000000
3112010112020122022000
411012103210330000
542202433120243
62303121344000
7252443343240
oct50623447400
915115218260
105474504448
11235a240246
121089498000
1369325805a
1439d0dbb20
152209355d3
hex1464e4f00

5474504448 has 144 divisors (see below), whose sum is σ = 18501960960. Its totient is φ = 1564130304.

The previous prime is 5474504429. The next prime is 5474504473. The reversal of 5474504448 is 8444054745.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8190 + ... + 104957.

It is an arithmetic number, because the mean of its divisors is an integer number (128485840).

Almost surely, 25474504448 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 5474504448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250980480).

5474504448 is an abundant number, since it is smaller than the sum of its proper divisors (13027456512).

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

5474504448 is a wasteful number, since it uses less digits than its factorization.

5474504448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113179 (or 113159 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The square root of 5474504448 is about 73989.8942288743. The cubic root of 5474504448 is about 1762.4424216591.

The spelling of 5474504448 in words is "five billion, four hundred seventy-four million, five hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 113147 226294 339441 452588 678882 792029 905176 1018323 1357764 1584058 1810352 2036646 2376087 2715528 3054969 3168116 3620704 4073292 4752174 5431056 6109938 6336232 7128261 7241408 8146584 9504348 10862112 12219876 12672464 14256522 14482816 16293168 19008696 21384783 21724224 24439752 25344928 28513044 28965632 32586336 38017392 42769566 43448448 48879504 50689856 57026088 65172672 76034784 85539132 86896896 97759008 101379712 114052176 130345344 152069568 171078264 195518016 202759424 228104352 260690688 304139136 342156528 391036032 456208704 608278272 684313056 782072064 912417408 1368626112 1824834816 2737252224 5474504448