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2252503355553 = 3211193741789389
BaseRepresentation
bin100000110001110011101…
…010011001000010100001
321222100002211110100022200
4200301303222121002201
5243401111324334203
64442441420123413
7321511063420353
oct40616352310241
97870084410280
102252503355553
11799310470120
12304672996569
13134544158b29
147b0439470d3
153d8d59869a3
hex20c73a990a1

2252503355553 has 96 divisors (see below), whose sum is σ = 3930783292800. Its totient is φ = 1227656217600.

The previous prime is 2252503355549. The next prime is 2252503355561. The reversal of 2252503355553 is 3555533052522.

2252503355553 is a `hidden beast` number, since 2 + 25 + 25 + 0 + 3 + 3 + 55 + 553 = 666.

It is not a de Polignac number, because 2252503355553 - 22 = 2252503355549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2252503355499 and 2252503355508.

It is not an unprimeable number, because it can be changed into a prime (2252503355353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2458783 + ... + 3248171.

It is an arithmetic number, because the mean of its divisors is an integer number (40945659300).

Almost surely, 22252503355553 is an apocalyptic number.

It is an amenable number.

2252503355553 is a deficient number, since it is larger than the sum of its proper divisors (1678279937247).

2252503355553 is a wasteful number, since it uses less digits than its factorization.

2252503355553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789503 (or 789500 counting only the distinct ones).

The product of its (nonzero) digits is 3375000, while the sum is 45.

The spelling of 2252503355553 in words is "two trillion, two hundred fifty-two billion, five hundred three million, three hundred fifty-five thousand, five hundred fifty-three".

Divisors: 1 3 9 11 19 33 37 41 57 99 111 123 171 209 333 369 407 451 627 703 779 1221 1353 1517 1881 2109 2337 3663 4059 4551 6327 7011 7733 8569 13653 16687 23199 25707 28823 50061 69597 77121 86469 150183 259407 317053 789389 951159 2368167 2853477 7104501 8683279 14998391 26049837 29207393 32364949 44995173 78149511 87622179 97094847 134985519 164982301 262866537 291284541 321281323 356014439 494946903 554940467 614934031 963843969 1068043317 1197503113 1484840709 1664821401 1844802093 2891531907 3204129951 3592509339 4994464203 5534406279 6104345137 6764274341 10777528017 13172534243 18313035411 20292823023 22752559147 39517602729 54939106233 60878469069 68257677441 118552808187 204773032323 250278150617 750834451851 2252503355553