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208231525403264 = 27116531423159157
BaseRepresentation
bin101111010110001010101110…
…000110100100101010000000
31000022021201222000220120012102
4233112022232012210222000
5204243131131000401024
62014512124150245532
761601142213636536
oct5726125606445200
91008251860816172
10208231525403264
1160392548561870
121b4307b86568a8
138c261c15b217c
14395c661226156
1519118a6e691ae
hexbd62ae1a4a80

208231525403264 has 128 divisors (see below), whose sum is σ = 453563018830080. Its totient is φ = 94438739496960.

The previous prime is 208231525403183. The next prime is 208231525403287. The reversal of 208231525403264 is 462304525132802.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308260774 + ... + 1308419930.

It is an arithmetic number, because the mean of its divisors is an integer number (3543461084610).

Almost surely, 2208231525403264 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 208231525403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226781509415040).

208231525403264 is an abundant number, since it is smaller than the sum of its proper divisors (245331493426816).

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

208231525403264 is a wasteful number, since it uses less digits than its factorization.

208231525403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161258 (or 161246 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 47.

The spelling of 208231525403264 in words is "two hundred eight trillion, two hundred thirty-one billion, five hundred twenty-five million, four hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 653 704 1306 1408 1423 2612 2846 5224 5692 7183 10448 11384 14366 15653 20896 22768 28732 31306 41792 45536 57464 62612 83584 91072 114928 125224 159157 182144 229856 250448 318314 459712 500896 636628 919424 929219 1001792 1273256 1750727 1858438 2003584 2546512 3501454 3716876 5093024 7002908 7433752 10186048 10221409 14005816 14867504 20372096 20442818 28011632 29735008 40885636 56023264 59470016 81771272 103929521 112046528 118940032 163542544 207859042 224093056 226480411 327085088 415718084 452960822 654170176 831436168 905921644 1143224731 1308340352 1662872336 1811843288 2286449462 2491284521 3325744672 3623686576 4572898924 4982569042 6651489344 7247373152 9145797848 9965138084 13302978688 14494746304 18291595696 19930276168 28989492608 36583191392 39860552336 73166382784 79721104672 146332765568 147891708383 159442209344 295783416766 318884418688 591566833532 1183133667064 1626808792213 2366267334128 3253617584426 4732534668256 6507235168852 9465069336512 13014470337704 18930138673024 26028940675408 52057881350816 104115762701632 208231525403264