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29955210829234 = 23741101449321757
BaseRepresentation
bin1101100111110011111011…
…01100110101110110110010
310221001200122010222010202121
412303321331230311312302
512411241232433013414
6143413122303504454
76211123022620345
oct663717554656662
9127050563863677
1029955210829234
1195a9a2a645149
12343962b5b812a
1313939c2107542
14757ba8b1c45c
1536e30cb33724
hex1b3e7db35db2

29955210829234 has 64 divisors (see below), whose sum is σ = 47753626025952. Its totient is φ = 14072825088000.

The previous prime is 29955210829231. The next prime is 29955210829249. The reversal of 29955210829234 is 43292801255992.

It can be written as a sum of positive squares in 16 ways, for example, as 26867272723225 + 3087938106009 = 5183365^2 + 1757253^2 .

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (29955210829231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376797084 + ... + 1376818840.

Almost surely, 229955210829234 is an apocalyptic number.

29955210829234 is a deficient number, since it is larger than the sum of its proper divisors (17798415196718).

29955210829234 is a wasteful number, since it uses less digits than its factorization.

29955210829234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26431.

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 29955210829234 in words is "twenty-nine trillion, nine hundred fifty-five billion, two hundred ten million, eight hundred twenty-nine thousand, two hundred thirty-four".

Divisors: 1 2 37 41 74 82 101 202 1517 3034 3737 4141 4493 7474 8282 8986 21757 43514 153217 166241 184213 306434 332482 368426 453793 805009 892037 907586 1610018 1784074 2197457 4394914 6815881 13631762 16790341 18605513 33005369 33580682 37211026 66010738 81305909 90095737 97754201 162611818 180191474 195508402 688403981 1376807962 3333542269 3616905437 4007922241 6667084538 7233810874 8015844482 9873174301 19746348602 148293122917 296586245834 365307449137 404800146341 730614898274 809600292682 14977605414617 29955210829234