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129230903169 = 345926772
BaseRepresentation
bin111100001011011000…
…0110001011110000001
3110100120022202002010000
41320112300301132001
54104131102400134
6135211242430213
712223314360354
oct1702660613601
9410508662100
10129230903169
114a896526315
1221067202369
13c256751a54
14637d2a629b
153565592e99
hex1e16c31781

129230903169 has 45 divisors (see below), whose sum is σ = 196666598227. Its totient is φ = 84568597776.

The previous prime is 129230903167. The next prime is 129230903171. The reversal of 129230903169 is 961309032921.

The square root of 129230903169 is 359487.

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

129230903169 is a `hidden beast` number, since 1 + 29 + 2 + 309 + 0 + 316 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (129230903167) and next prime (129230903171).

It can be written as a sum of positive squares in only one way, i.e., 128468480625 + 762422544 = 358425^2 + 27612^2 .

It is not a de Polignac number, because 129230903169 - 21 = 129230903167 is a prime.

It is a super-2 number, since 2×1292309031692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129230903167) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 190887259 + ... + 190887935.

Almost surely, 2129230903169 is an apocalyptic number.

129230903169 is the 359487-th square number.

129230903169 is the 179744-th centered octagonal number.

It is an amenable number.

129230903169 is a deficient number, since it is larger than the sum of its proper divisors (67435695058).

129230903169 is an frugal number, since it uses more digits than its factorization.

129230903169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 129230903169 in words is "one hundred twenty-nine billion, two hundred thirty million, nine hundred three thousand, one hundred sixty-nine".

Divisors: 1 3 9 27 59 81 177 531 677 1593 2031 3481 4779 6093 10443 18279 31329 39943 54837 93987 119829 281961 359487 458329 1078461 1374987 2356637 3235383 4124961 7069911 12374883 21209733 27041411 37124649 63629199 81124233 190887597 243372699 730118097 1595443249 2190354291 4786329747 14358989241 43076967723 129230903169