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217693093122 = 23217264692
BaseRepresentation
bin1100101010111110000…
…1001111110100000010
3202210220101221221102200
43022233201033310002
512031313412434442
6244001250254030
721504431521611
oct3125741176402
9683811857380
10217693093122
1184361091a0a
1236234b87316
13176b3aa3c4b
14a771c5b878
1559e190734c
hex32af84fd02

217693093122 has 54 divisors (see below), whose sum is σ = 501123102363. Its totient is φ = 68285314944.

The previous prime is 217693093021. The next prime is 217693093141. The reversal of 217693093122 is 221390396712.

217693093122 is a `hidden beast` number, since 21 + 7 + 6 + 9 + 309 + 312 + 2 = 666.

217693093122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 54597462921 + 163095630201 = 233661^2 + 403851^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=329919.

It is a super-3 number, since 3×2176930931223 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 33648504 + ... + 33654972.

Almost surely, 2217693093122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217693093122

217693093122 is an abundant number, since it is smaller than the sum of its proper divisors (283430009241).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217693093122 is an frugal number, since it uses more digits than its factorization.

217693093122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 217693093122 in words is "two hundred seventeen billion, six hundred ninety-three million, ninety-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 6469 12938 19407 38814 58221 109973 116442 219946 329919 659838 989757 1869541 1979514 3739082 5608623 11217246 16825869 33651738 41847961 83695922 125543883 251087766 376631649 711415337 753263298 1422830674 2134246011 4268492022 6402738033 12094060729 12805476066 24188121458 36282182187 72564364374 108846546561 217693093122