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216302873193 = 321119137839369
BaseRepresentation
bin1100100101110010100…
…1111110101001101001
3202200022112000110012200
43021130221332221221
512020442013420233
6243211305130413
721425121041361
oct3113451765151
9680275013180
10216302873193
1183808373120
1235b07489a09
1317521a6abc4
14a67d3739a1
15595e845313
hex325ca7ea69

216302873193 has 48 divisors (see below), whose sum is σ = 361399147200. Its totient is φ = 123286371840.

The previous prime is 216302873173. The next prime is 216302873233. The reversal of 216302873193 is 391378203612.

216302873193 is a `hidden beast` number, since 2 + 1 + 630 + 2 + 8 + 7 + 3 + 1 + 9 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-216302873193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216302873173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161988 + ... + 677381.

It is an arithmetic number, because the mean of its divisors is an integer number (7529148900).

Almost surely, 2216302873193 is an apocalyptic number.

It is an amenable number.

216302873193 is a deficient number, since it is larger than the sum of its proper divisors (145096274007).

216302873193 is a wasteful number, since it uses less digits than its factorization.

216302873193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839542 (or 839539 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 216302873193 in words is "two hundred sixteen billion, three hundred two million, eight hundred seventy-three thousand, one hundred ninety-three".

Divisors: 1 3 9 11 19 33 57 99 137 171 209 411 627 1233 1507 1881 2603 4521 7809 13563 23427 28633 85899 257697 839369 2518107 7554321 9233059 15948011 27699177 47844033 83097531 114993553 143532099 175428121 344980659 526284363 1034941977 1264929083 1578853089 2184877507 3794787249 6554632521 11384361747 19663897563 24033652577 72100957731 216302873193