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149906029329 = 327210321792
BaseRepresentation
bin1000101110011100011…
…0000111101100010001
3112022221012122022100100
42023213012013230101
54424001420414304
6152511010243013
713554545140200
oct2134706075421
9468835568310
10149906029329
1158636055641
1225077286469
131119cc6a104
1473810cd237
153d7571b439
hex22e7187b11

149906029329 has 81 divisors (see below), whose sum is σ = 255781027593. Its totient is φ = 84355027344.

The previous prime is 149906029321. The next prime is 149906029369. The reversal of 149906029329 is 923920609941.

The square root of 149906029329 is 387177.

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

149906029329 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 0 + 602 + 9 + 3 + 29 = 666.

It is not a de Polignac number, because 149906029329 - 23 = 149906029321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (149906029321) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 837463762 + ... + 837463940.

Almost surely, 2149906029329 is an apocalyptic number.

149906029329 is the 387177-th square number.

149906029329 is the 193589-th centered octagonal number.

It is an amenable number.

149906029329 is a deficient number, since it is larger than the sum of its proper divisors (105874998264).

149906029329 is an equidigital number, since it uses as much as digits as its factorization.

149906029329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 149906029329 in words is "one hundred forty-nine billion, nine hundred six million, twenty-nine thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 103 147 179 309 441 537 721 927 1253 1611 2163 3759 5047 6489 8771 10609 11277 15141 18437 26313 31827 32041 45423 55311 74263 78939 95481 96123 129059 165933 222789 224287 288369 387177 519841 668367 672861 903413 1161531 1559523 1570009 1899011 2018583 2710239 3300223 4678569 4710027 5697033 8130717 9900669 13293077 14130081 17091099 23101561 29702007 39879231 69304683 93051539 119637693 161710927 207914049 279154617 339922969 485132781 837463851 1019768907 1455398343 2379460783 3059306721 7138382349 16656225481 21415147047 49968676443 149906029329