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204656614113441 = 37149541120899069
BaseRepresentation
bin101110100010001001010100…
…110010010000000010100001
3222211121222111022121202120010
4232202021110302100002201
5203311043221203112231
62003133541154435133
761051644453230160
oct5642112462200241
9884558438552503
10204656614113441
115a234423309916
121ab539a5b92aa9
138a27060b4b109
14387760c1253d7
15189d8c524e546
hexba2254c900a1

204656614113441 has 32 divisors (see below), whose sum is σ = 314531020512000. Its totient is φ = 115947042174720.

The previous prime is 204656614113433. The next prime is 204656614113467. The reversal of 204656614113441 is 144311416656402.

It is not a de Polignac number, because 204656614113441 - 23 = 204656614113433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204656614113401) 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 31 ways as a sum of consecutive naturals, for example, 58756746 + ... + 62142323.

It is an arithmetic number, because the mean of its divisors is an integer number (9829094391000).

Almost surely, 2204656614113441 is an apocalyptic number.

204656614113441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204656614113441 is a deficient number, since it is larger than the sum of its proper divisors (109874406398559).

204656614113441 is a wasteful number, since it uses less digits than its factorization.

204656614113441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120899769.

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 204656614113441 in words is "two hundred four trillion, six hundred fifty-six billion, six hundred fourteen million, one hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 21 149 447 541 1043 1623 3129 3787 11361 80609 241827 564263 1692789 120899069 362697207 846293483 2538880449 18013961281 54041883843 65406396329 126097728967 196219188987 378293186901 457844774303 1373534322909 9745553053021 29236659159063 68218871371147 204656614113441