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5531416200 = 23325217532
BaseRepresentation
bin1010010011011001…
…01011011010001000
3112021111100001112200
411021230223122020
542312020304300
62312513240200
7254034155562
oct51154533210
915244301480
105531416200
112389381952
1210a4563060
136a1c9344b
143a68b4332
15225928200
hex149b2b688

5531416200 has 108 divisors (see below), whose sum is σ = 18586942335. Its totient is φ = 1474202880.

The previous prime is 5531416199. The next prime is 5531416207. The reversal of 5531416200 is 26141355.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5531416200 is a `hidden beast` number, since 5 + 5 + 31 + 4 + 1 + 620 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4088484 + 5527327716 = 2022^2 + 74346^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=52590.

It is not an unprimeable number, because it can be changed into a prime (5531416207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3154524 + ... + 3156276.

Almost surely, 25531416200 is an apocalyptic number.

5531416200 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 5531416200

5531416200 is an abundant number, since it is smaller than the sum of its proper divisors (13055526135).

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

5531416200 is a wasteful number, since it uses less digits than its factorization.

5531416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5531416200 is about 74373.4912452011. The cubic root of 5531416200 is about 1768.5287016852.

Adding to 5531416200 its reverse (26141355), we get a palindrome (5557557555).

The spelling of 5531416200 in words is "five billion, five hundred thirty-one million, four hundred sixteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1753 1800 3506 5259 7012 8765 10518 14024 15777 17530 21036 26295 31554 35060 42072 43825 52590 63108 70120 78885 87650 105180 126216 131475 157770 175300 210360 262950 315540 350600 394425 525900 631080 788850 1051800 1577700 3073009 3155400 6146018 9219027 12292036 15365045 18438054 24584072 27657081 30730090 36876108 46095135 55314162 61460180 73752216 76825225 92190270 110628324 122920360 138285405 153650450 184380540 221256648 230475675 276570810 307300900 368761080 460951350 553141620 614601800 691427025 921902700 1106283240 1382854050 1843805400 2765708100 5531416200