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16053133135061 = 1171731316073541
BaseRepresentation
bin1110100110011010100101…
…0011000100110011010101
32002211122221110010201122202
43221212221103010303111
54101003304040310221
654050412455334245
73244541414143001
oct351465123046325
962748843121582
1016053133135061
11512a106172240
121973255981385
138c5a5b3b4cb9
143d6d937cd701
151cc8a3861d0b
hexe99a94c4cd5

16053133135061 has 64 divisors (see below), whose sum is σ = 18174879055872. Its totient is φ = 14055612480000.

The previous prime is 16053133135027. The next prime is 16053133135103.

16053133135061 is nontrivially palindromic in base 10.

16053133135061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 16053133135061 - 214 = 16053133118677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16053133135561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4533500951 + ... + 4533504491.

It is an arithmetic number, because the mean of its divisors is an integer number (283982485248).

Almost surely, 216053133135061 is an apocalyptic number.

16053133135061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16053133135061 is a deficient number, since it is larger than the sum of its proper divisors (2121745920811).

16053133135061 is a wasteful number, since it uses less digits than its factorization.

16053133135061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434.

The product of its (nonzero) digits is 72900, while the sum is 38.

The spelling of 16053133135061 in words is "sixteen trillion, fifty-three billion, one hundred thirty-three million, one hundred thirty-five thousand, sixty-one".

Divisors: 1 11 71 73 131 607 781 803 1441 3541 5183 6677 9301 9563 38951 43097 44311 57013 79517 102311 105193 251411 258493 463871 474067 487421 678973 874687 2149387 2765521 2843423 3146081 5102581 5645707 5804741 7468703 18353003 23643257 32934841 33862583 34606891 62102777 63852151 152606477 156905251 201883033 281569697 362283251 372488413 412136611 1678671247 1725957761 2404243393 3097266667 4533502721 11140272821 19991448487 20554587881 26446677323 122543001031 219905933357 226100466691 1459375739551 16053133135061