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349620282099 = 3511217699449
BaseRepresentation
bin1010001011001101111…
…11100010001011110011
31020102102122020112100000
411011212333202023303
521212010243011344
6424340252001043
734154626235664
oct5054677421363
91212378215300
10349620282099
11125300597700
1257913160183
1326c7a00b98a
1412cc926b36b
159163a49a69
hex5166fe22f3

349620282099 has 72 divisors (see below), whose sum is σ = 609511921200. Its totient is φ = 199426613760.

The previous prime is 349620282083. The next prime is 349620282131. The reversal of 349620282099 is 990282026943.

349620282099 is a `hidden beast` number, since 3 + 4 + 9 + 620 + 2 + 8 + 2 + 0 + 9 + 9 = 666.

It is not a de Polignac number, because 349620282099 - 24 = 349620282083 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (349620282059) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150127 + ... + 849575.

It is an arithmetic number, because the mean of its divisors is an integer number (8465443350).

Almost surely, 2349620282099 is an apocalyptic number.

349620282099 is a deficient number, since it is larger than the sum of its proper divisors (259891639101).

349620282099 is a wasteful number, since it uses less digits than its factorization.

349620282099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699503 (or 699480 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 349620282099 in words is "three hundred forty-nine billion, six hundred twenty million, two hundred eighty-two thousand, ninety-nine".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 243 297 363 459 561 891 1089 1377 1683 2057 2673 3267 4131 5049 6171 9801 15147 18513 29403 45441 55539 166617 499851 699449 2098347 6295041 7693939 11890633 18885123 23081817 35671899 56655369 69245451 84633329 107015697 130796963 169966107 207736353 253899987 321047091 392390889 623209059 761699961 963141273 1177172667 1438766593 1869627177 2285099883 2889423819 3531518001 4316299779 6855299649 10594554003 12948899337 20565898947 31783662009 38846698011 116540094033 349620282099