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5485903056 = 2432137487571
BaseRepresentation
bin1010001101111110…
…00011110011010000
3112011022200202020200
411012333003303100
542213342344211
62304205535200
7252642256314
oct50677036320
915138622220
105485903056
112365716187
121091274500
136957193aa
143a0827b44
15221937b56
hex146fc3cd0

5485903056 has 120 divisors (see below), whose sum is σ = 15523869504. Its totient is φ = 1808386560.

The previous prime is 5485903051. The next prime is 5485903081. The reversal of 5485903056 is 6503095845.

5485903056 is a `hidden beast` number, since 5 + 4 + 8 + 590 + 3 + 0 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5485903051) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9607251 + ... + 9607821.

Almost surely, 25485903056 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 5485903056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761934752).

5485903056 is an abundant number, since it is smaller than the sum of its proper divisors (10037966448).

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

5485903056 is a wasteful number, since it uses less digits than its factorization.

5485903056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5485903056 is about 74066.8823159177. The cubic root of 5485903056 is about 1763.6647827393.

The spelling of 5485903056 in words is "five billion, four hundred eighty-five million, nine hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 487 548 571 822 974 1096 1142 1233 1461 1644 1713 1948 2192 2284 2466 2922 3288 3426 3896 4383 4568 4932 5139 5844 6576 6852 7792 8766 9136 9864 10278 11688 13704 17532 19728 20556 23376 27408 35064 41112 66719 70128 78227 82224 133438 156454 200157 234681 266876 278077 312908 400314 469362 533752 556154 600471 625816 704043 800628 834231 938724 1067504 1112308 1200942 1251632 1408086 1601256 1668462 1877448 2224616 2401884 2502693 2816172 3202512 3336924 3754896 4449232 4803768 5005386 5632344 6673848 9607536 10010772 11264688 13347696 20021544 38096549 40043088 76193098 114289647 152386196 228579294 304772392 342868941 457158588 609544784 685737882 914317176 1371475764 1828634352 2742951528 5485903056