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5334551200 = 255211255109
BaseRepresentation
bin1001111011111011…
…01100101010100000
3111202202220021112101
410331331230222200
541411121114300
62241201540144
7246123636256
oct47575545240
914682807471
105334551200
112298240300
12104a644654
13670266094
143886aa5d6
152134dcb6a
hex13df6caa0

5334551200 has 108 divisors (see below), whose sum is σ = 14314767390. Its totient is φ = 1939801600.

The previous prime is 5334551171. The next prime is 5334551213. The reversal of 5334551200 is 21554335.

It can be written as a sum of positive squares in 3 ways, for example, as 4729587984 + 604963216 = 68772^2 + 24596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69246 + ... + 124354.

Almost surely, 25334551200 is an apocalyptic number.

5334551200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5334551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157383695).

5334551200 is an abundant number, since it is smaller than the sum of its proper divisors (8980216190).

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

5334551200 is a wasteful number, since it uses less digits than its factorization.

5334551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55151 (or 55127 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 5334551200 is about 73038.0120211387. The cubic root of 5334551200 is about 1747.2939074174.

The spelling of 5334551200 in words is "five billion, three hundred thirty-four million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2200 2420 3025 3872 4400 4840 6050 8800 9680 12100 19360 24200 48400 55109 96800 110218 220436 275545 440872 551090 606199 881744 1102180 1212398 1377725 1763488 2204360 2424796 2755450 3030995 4408720 4849592 5510900 6061990 6668189 8817440 9699184 11021800 12123980 13336378 15154975 19398368 22043600 24247960 26672756 30309950 33340945 44087200 48495920 53345512 60619900 66681890 96991840 106691024 121239800 133363780 166704725 213382048 242479600 266727560 333409450 484959200 533455120 666818900 1066910240 1333637800 2667275600 5334551200