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4082092935561 = 342244912
BaseRepresentation
bin111011011001101111101…
…100110000100110001001
3112110020121002000220210000
4323121233230300212021
51013340111242414221
612403142042313213
7600631032306504
oct73315754604611
915406532026700
104082092935561
11133422a051163
1255b1787b8809
13237c2a716a54
1410180804613b
15712b8097e26
hex3b66fb30989

4082092935561 has 15 divisors (see below), whose sum is σ = 6097968462333. Its totient is φ = 2721383167860.

The previous prime is 4082092935541. The next prime is 4082092935623. The reversal of 4082092935561 is 1655392902804.

The square root of 4082092935561 is 2020419.

It is a perfect power (a square), and thus also a powerful number.

4082092935561 is a `hidden beast` number, since 4 + 0 + 8 + 20 + 9 + 29 + 35 + 561 = 666.

It is not a de Polignac number, because 4082092935561 - 213 = 4082092927369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4082092935498 and 4082092935507.

It is not an unprimeable number, because it can be changed into a prime (4082092935511) 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 14 ways as a sum of consecutive naturals, for example, 18071526 + ... + 18296016.

Almost surely, 24082092935561 is an apocalyptic number.

4082092935561 is the 2020419-th square number.

4082092935561 is the 1010210-th centered octagonal number.

It is an amenable number.

4082092935561 is a deficient number, since it is larger than the sum of its proper divisors (2015875526772).

4082092935561 is an frugal number, since it uses more digits than its factorization.

4082092935561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448994 (or 224494 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 4082092935561 in words is "four trillion, eighty-two billion, ninety-two million, nine hundred thirty-five thousand, five hundred sixty-one".

Divisors: 1 3 9 27 81 224491 673473 2020419 6061257 18183771 50396209081 151188627243 453565881729 1360697645187 4082092935561