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1010046455561 = 111337190898971
BaseRepresentation
bin11101011001010110111…
…01011100111100001001
310120120002212121020122202
432230223131130330021
5113022033343034221
62052001532525545
7132654615133643
oct16545335347411
93516085536582
101010046455561
1135a3a398a730
121439066208b5
137432979ccc0
1436c5a81d893
151b41874dd0b
hexeb2b75cf09

1010046455561 has 16 divisors (see below), whose sum is σ = 1218699037248. Its totient is φ = 824683550400.

The previous prime is 1010046455549. The next prime is 1010046455563. The reversal of 1010046455561 is 1655546400101.

It is a cyclic number.

It is not a de Polignac number, because 1010046455561 - 214 = 1010046439177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010046455563) 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 15 ways as a sum of consecutive naturals, for example, 95444195 + ... + 95454776.

It is an arithmetic number, because the mean of its divisors is an integer number (76168689828).

Almost surely, 21010046455561 is an apocalyptic number.

1010046455561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010046455561 is a deficient number, since it is larger than the sum of its proper divisors (208652581687).

1010046455561 is a wasteful number, since it uses less digits than its factorization.

1010046455561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190899032.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 1010046455561 in words is "one trillion, ten billion, forty-six million, four hundred fifty-five thousand, five hundred sixty-one".

Divisors: 1 11 13 37 143 407 481 5291 190898971 2099888681 2481686623 7063261927 27298552853 77695881197 91822405051 1010046455561