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5485351248 = 24321318116189
BaseRepresentation
bin1010001101111001…
…11101000101010000
3112011021122201022100
411012330331011100
542213222214443
62304150040400
7252634500456
oct50674750520
915137581270
105485351248
112365379643
121091049100
13695585190
143a07229d6
152218793d3
hex146f3d150

5485351248 has 120 divisors (see below), whose sum is σ = 16624604360. Its totient is φ = 1678371840.

The previous prime is 5485351219. The next prime is 5485351273. The reversal of 5485351248 is 8421535845.

5485351248 is a `hidden beast` number, since 5 + 48 + 53 + 512 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128867904 + 5356483344 = 11352^2 + 73188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330738 + ... + 346926.

Almost surely, 25485351248 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 5485351248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8312302180).

5485351248 is an abundant number, since it is smaller than the sum of its proper divisors (11139253112).

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

5485351248 is a wasteful number, since it uses less digits than its factorization.

5485351248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16397 (or 16388 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 5485351248 is about 74063.1571565782. The cubic root of 5485351248 is about 1763.6056471112.

The spelling of 5485351248 in words is "five billion, four hundred eighty-five million, three hundred fifty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 181 208 234 312 362 468 543 624 724 936 1086 1448 1629 1872 2172 2353 2896 3258 4344 4706 6516 7059 8688 9412 13032 14118 16189 18824 21177 26064 28236 32378 37648 42354 48567 56472 64756 84708 97134 112944 129512 145701 169416 194268 210457 259024 291402 338832 388536 420914 582804 631371 777072 841828 1165608 1262742 1683656 1894113 2331216 2525484 2930209 3367312 3788226 5050968 5860418 7576452 8790627 10101936 11720836 15152904 17581254 23441672 26371881 30305808 35162508 38092717 46883344 52743762 70325016 76185434 105487524 114278151 140650032 152370868 210975048 228556302 304741736 342834453 421950096 457112604 609483472 685668906 914225208 1371337812 1828450416 2742675624 5485351248