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133559094627729 = 321792215212
BaseRepresentation
bin11110010111100010100110…
…011001000100110110010001
3122111220010100221110101221100
4132113202212121010312101
5120001213011211041404
61152020111231415013
740063216604660511
oct3627424631046621
9574803327411840
10133559094627729
1139613104047911
1212b90792684469
13596a7512352a4
1424da41a813841
1510692a2934d39
hex7978a6644d91

133559094627729 has 27 divisors (see below), whose sum is σ = 194011486276699. Its totient is φ = 88537855410240.

The previous prime is 133559094627619. The next prime is 133559094627863. The reversal of 133559094627729 is 927726490955331.

The square root of 133559094627729 is 11556777.

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

133559094627729 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 90 + 9 + 462 + 7 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69021651037329 + 64537443590400 = 8307927^2 + 8033520^2 .

It is not a de Polignac number, because 133559094627729 - 27 = 133559094627601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133559094627029) 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 26 ways as a sum of consecutive naturals, for example, 6205978489 + ... + 6206000009.

Almost surely, 2133559094627729 is an apocalyptic number.

133559094627729 is the 11556777-th square number.

133559094627729 is the 5778389-th centered octagonal number.

It is an amenable number.

133559094627729 is a deficient number, since it is larger than the sum of its proper divisors (60452391648970).

133559094627729 is an frugal number, since it uses more digits than its factorization.

133559094627729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43406 (or 21703 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 72.

The spelling of 133559094627729 in words is "one hundred thirty-three trillion, five hundred fifty-nine billion, ninety-four million, six hundred twenty-seven thousand, seven hundred twenty-nine".

Divisors: 1 3 9 179 537 1611 21521 32041 64563 96123 193689 288369 3852259 11556777 34670331 463153441 689554361 1389460323 2068663083 4168380969 6205989249 82904465939 248713397817 746140193451 14839899403081 44519698209243 133559094627729