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205253456612061 = 311133171509294277
BaseRepresentation
bin101110101010110101001011…
…010111101100101011011101
3222220202001001022002010102210
4232222311023113230223131
5203400333034343041221
62004312045232511033
761143033665610624
oct5652651327545335
9886661038063383
10205253456612061
115a444558346940
121b02b5b33ab479
138a6b4195999c0
14389846acc46bb
1518ae1a7cb6276
hexbaad4b5ecadd

205253456612061 has 32 divisors (see below), whose sum is σ = 322530150031488. Its totient is φ = 114464877891840.

The previous prime is 205253456612047. The next prime is 205253456612089. The reversal of 205253456612061 is 160216654352502.

It is not a de Polignac number, because 205253456612061 - 215 = 205253456579293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205253456612061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205253456612021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 754511146 + ... + 754783131.

It is an arithmetic number, because the mean of its divisors is an integer number (10079067188484).

Almost surely, 2205253456612061 is an apocalyptic number.

It is an amenable number.

205253456612061 is a deficient number, since it is larger than the sum of its proper divisors (117276693419427).

205253456612061 is a wasteful number, since it uses less digits than its factorization.

205253456612061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509294621.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 205253456612061 in words is "two hundred five trillion, two hundred fifty-three billion, four hundred fifty-six million, six hundred twelve thousand, sixty-one".

Divisors: 1 3 11 13 33 39 143 317 429 951 3487 4121 10461 12363 45331 135993 1509294277 4527882831 16602237047 19620825601 49806711141 58862476803 215829081611 478446285809 647487244833 1435338857427 5262909143899 6219801715517 15788727431697 18659405146551 68417818870687 205253456612061