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205014145025541 = 31982119132290081
BaseRepresentation
bin101110100111010110010011…
…010010011100011000000101
3222212220011100021002221012110
4232213112103102130120011
5203332422432111304131
62004010110435011233
761116532426646325
oct5647262322343005
9885804307087173
10205014145025541
115a362013182965
121abb1146439b19
138a5199ba0b937
14388aa47c35285
1518a7d4d4de646
hexba759349c605

205014145025541 has 32 divisors (see below), whose sum is σ = 288240346500480. Its totient is φ = 129257244979200.

The previous prime is 205014145025519. The next prime is 205014145025567. The reversal of 205014145025541 is 145520541410502.

It is not a de Polignac number, because 205014145025541 - 29 = 205014145025029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205014145025541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205014145025741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88377621 + ... + 90667701.

It is an arithmetic number, because the mean of its divisors is an integer number (9007510828140).

Almost surely, 2205014145025541 is an apocalyptic number.

It is an amenable number.

205014145025541 is a deficient number, since it is larger than the sum of its proper divisors (83226201474939).

205014145025541 is a wasteful number, since it uses less digits than its factorization.

205014145025541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292837.

The product of its (nonzero) digits is 160000, while the sum is 39.

The spelling of 205014145025541 in words is "two hundred five trillion, fourteen billion, one hundred forty-five million, twenty-five thousand, five hundred forty-one".

Divisors: 1 3 19 57 821 1913 2463 5739 15599 36347 46797 109041 1570573 2290081 4711719 6870243 29840887 43511539 89522661 130534617 1880156501 4380924953 5640469503 13142774859 35722973519 83237574107 107168920557 249712722321 3596739386413 10790218159239 68338048341847 205014145025541