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39107831049 = 3472432732
BaseRepresentation
bin100100011011000000…
…100010010100001001
310201221111021122210000
4210123000202110021
51120043101043144
625544344313213
72553062036100
oct443300422411
9121844248700
1039107831049
1115649395331
1276b5172809
1338c329b441
141c6dccd037
15103d505769
hex91b022509

39107831049 has 135 divisors (see below), whose sum is σ = 70541681463. Its totient is φ = 21528618048.

The previous prime is 39107831041. The next prime is 39107831051. The reversal of 39107831049 is 94013870193.

The square root of 39107831049 is 197757.

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

It can be written as a sum of positive squares in only one way, i.e., 22199510025 + 16908321024 = 148995^2 + 130032^2 .

It is not a de Polignac number, because 39107831049 - 23 = 39107831041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 39107830995 and 39107831013.

It is not an unprimeable number, because it can be changed into a prime (39107831041) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 535723677 + ... + 535723749.

Almost surely, 239107831049 is an apocalyptic number.

39107831049 is the 197757-th square number.

39107831049 is the 98879-th centered octagonal number.

It is an amenable number.

39107831049 is a deficient number, since it is larger than the sum of its proper divisors (31433850414).

39107831049 is an frugal number, since it uses more digits than its factorization.

39107831049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 39107831049 in words is "thirty-nine billion, one hundred seven million, eight hundred thirty-one thousand, forty-nine".

Divisors: 1 3 7 9 21 27 43 49 63 73 81 129 147 189 219 301 387 441 511 567 657 903 1161 1323 1533 1849 1971 2107 2709 3139 3483 3577 3969 4599 5329 5547 5913 6321 8127 9417 10731 12943 13797 15987 16641 18963 21973 24381 28251 32193 37303 38829 41391 47961 49923 56889 65919 84753 90601 96579 111909 116487 134977 143883 149769 153811 170667 197757 229147 254259 261121 271803 289737 335727 349461 404931 431649 461433 593271 687441 783363 815409 944839 1007181 1048383 1214793 1384299 1604029 1779813 2062323 2350089 2446227 2834517 3021543 3644379 4152897 4812087 6186969 6613873 7050267 7338681 8503551 9853321 10933137 11228203 12458691 14436261 18560907 19841619 21150801 25510653 29559963 33684609 43308783 59524857 68973247 76531959 88679889 101053827 129926349 178574571 206919741 266039667 303161481 482812729 535723713 620759223 798119001 909484443 1448438187 1862277669 4345314561 5586833007 13035943683 39107831049