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16465056461 = 7171910172101
BaseRepresentation
bin11110101010110010…
…01101001011001101
31120111110220112022222
433111121031023031
5232210023301321
611321451145125
71122006446030
oct172531151315
946443815288
1016465056461
116a8a105687
1232361451a5
131725225179
14b22a2d017
1566575a3ab
hex3d564d2cd

16465056461 has 32 divisors (see below), whose sum is σ = 21180683520. Its totient is φ = 12458880000.

The previous prime is 16465056457. The next prime is 16465056469.

16465056461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16465056461 - 22 = 16465056457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16465056469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192311 + ... + 264411.

It is an arithmetic number, because the mean of its divisors is an integer number (661896360).

Almost surely, 216465056461 is an apocalyptic number.

It is an amenable number.

16465056461 is a deficient number, since it is larger than the sum of its proper divisors (4715627059).

16465056461 is a wasteful number, since it uses less digits than its factorization.

16465056461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72245.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 16465056461 in words is "sixteen billion, four hundred sixty-five million, fifty-six thousand, four hundred sixty-one".

Divisors: 1 7 17 19 101 119 133 323 707 1717 1919 2261 12019 13433 32623 72101 228361 504707 1225717 1369919 7282201 8580019 9589433 23288623 50975407 123797417 138361819 163020361 866581919 968532733 2352150923 16465056461