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5431319200 = 255241165589
BaseRepresentation
bin1010000111011101…
…10101101010100000
3112000111222121021101
411003232311222200
542110404203300
62254540004144
7251410310566
oct50356655240
915014877241
105431319200
11233792455a
121076b30654
13687317758
14397499a36
1521bc54b6a
hex143bb5aa0

5431319200 has 72 divisors (see below), whose sum is σ = 13582685340. Its totient is φ = 2119526400.

The previous prime is 5431319167. The next prime is 5431319219. The reversal of 5431319200 is 29131345.

It can be written as a sum of positive squares in 6 ways, for example, as 657614736 + 4773704464 = 25644^2 + 69092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49995 + ... + 115594.

Almost surely, 25431319200 is an apocalyptic number.

5431319200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5431319200 is an abundant number, since it is smaller than the sum of its proper divisors (8151366140).

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

5431319200 is a wasteful number, since it uses less digits than its factorization.

5431319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165650 (or 165637 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 5431319200 is about 73697.4843532668. The cubic root of 5431319200 is about 1757.7958806514.

The spelling of 5431319200 in words is "five billion, four hundred thirty-one million, three hundred nineteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 800 820 1025 1312 1640 2050 3280 4100 6560 8200 16400 32800 165589 331178 662356 827945 1324712 1655890 2649424 3311780 4139725 5298848 6623560 6789149 8279450 13247120 13578298 16558900 26494240 27156596 33117800 33945745 54313192 66235600 67891490 108626384 132471200 135782980 169728725 217252768 271565960 339457450 543131920 678914900 1086263840 1357829800 2715659600 5431319200