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505340525245400 = 235213256677572437
BaseRepresentation
bin111001011100110101100001…
…0011111110111001111011000
32110021021002020002000120022122
41302321223002133313033120
51012213444343430323100
64550434122112040412
7211304435206514045
oct16271530237671730
92407232202016278
10505340525245400
11137020793334279
1248816467533108
13188c853a3bccb0
148cb087d19a1cc
153d65100468985
hex1cb9ac27f73d8

505340525245400 has 96 divisors (see below), whose sum is σ = 1265344394181840. Its totient is φ = 186579976680960.

The previous prime is 505340525245357. The next prime is 505340525245469. The reversal of 505340525245400 is 4542525043505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62947982 + ... + 70520418.

Almost surely, 2505340525245400 is an apocalyptic number.

505340525245400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505340525245400 is an abundant number, since it is smaller than the sum of its proper divisors (760003868936440).

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

505340525245400 is a wasteful number, since it uses less digits than its factorization.

505340525245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598133 (or 7598124 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 44.

The spelling of 505340525245400 in words is "five hundred five trillion, three hundred forty billion, five hundred twenty-five million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 25667 51334 102668 128335 205336 256670 333671 513340 641675 667342 1026680 1283350 1334684 1668355 2566700 2669368 3336710 5133400 6673420 7572437 8341775 13346840 15144874 16683550 30289748 33367100 37862185 60579496 66734200 75724370 98441681 151448740 189310925 196883362 302897480 378621850 393766724 492208405 757243700 787533448 984416810 1514487400 1968833620 2461042025 3937667240 4922084050 9844168100 19688336200 194361740479 388723480958 777446961916 971808702395 1554893923832 1943617404790 2526702626227 3887234809580 4859043511975 5053405252454 7774469619160 9718087023950 10106810504908 12633513131135 19436174047900 20213621009816 25267026262270 38872348095800 50534052524540 63167565655675 101068105049080 126335131311350 252670262622700 505340525245400