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169220021768 = 23727922632
BaseRepresentation
bin1001110110011001001…
…1001001111000001000
3121011210020022210010122
42131212103021320020
510233030311144033
6205423312202412
715140300311100
oct2354623117010
9534706283118
10169220021768
1165847321a66
1228967539408
1312c5a4944c5
148294240200
15460612aa98
hex27664c9e08

169220021768 has 108 divisors (see below), whose sum is σ = 375247524015. Its totient is φ = 71332593696.

The previous prime is 169220021753. The next prime is 169220021783. The reversal of 169220021768 is 867120022961.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

169220021768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (169220021753) and next prime (169220021783).

It can be written as a sum of positive squares in only one way, i.e., 84610010884 + 84610010884 = 290878^2 + 290878^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=290878.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 643422005 + ... + 643422267.

Almost surely, 2169220021768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169220021768

169220021768 is an abundant number, since it is smaller than the sum of its proper divisors (206027502247).

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

169220021768 is an frugal number, since it uses more digits than its factorization.

169220021768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 169220021768 in words is "one hundred sixty-nine billion, two hundred twenty million, twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 196 263 316 392 526 553 632 1052 1106 1841 2104 2212 3682 3871 4424 6241 7364 7742 12482 12887 14728 15484 20777 24964 25774 30968 41554 43687 49928 51548 69169 83108 87374 103096 138338 145439 166216 174748 276676 290878 305809 349496 484183 553352 581756 611618 968366 1018073 1163512 1223236 1641383 1936732 2036146 2446472 3282766 3389281 3873464 4072292 5464351 6565532 6778562 8144584 10928702 11489681 13131064 13557124 21857404 22979362 27114248 38250457 43714808 45958724 76500914 80427767 91917448 153001828 160855534 267753199 306003656 321711068 431683729 535506398 643422136 863367458 1071012796 1726734916 2142025592 3021786103 3453469832 6043572206 12087144412 21152502721 24174288824 42305005442 84610010884 169220021768