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29306804947101 = 331141223248397
BaseRepresentation
bin1101010100111100001011…
…01100101100100010011101
310211202200222121220111021000
412222132011230230202131
512320130314031301401
6142155205455300513
76113226642560463
oct652360554544235
9124680877814230
1029306804947101
119379a45402990
123353a3181a739
131347809a63936
14734657b4a833
1535c50d35c186
hex1aa785b2c89d

29306804947101 has 96 divisors (see below), whose sum is σ = 48739325927040. Its totient is φ = 17250425107200.

The previous prime is 29306804946983. The next prime is 29306804947109. The reversal of 29306804947101 is 10174940860392.

29306804947101 is a `hidden beast` number, since 2 + 9 + 3 + 0 + 6 + 80 + 494 + 71 + 0 + 1 = 666.

It is not a de Polignac number, because 29306804947101 - 211 = 29306804945053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29306804947109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 605525835 + ... + 605574231.

It is an arithmetic number, because the mean of its divisors is an integer number (507701311740).

Almost surely, 229306804947101 is an apocalyptic number.

It is an amenable number.

29306804947101 is a deficient number, since it is larger than the sum of its proper divisors (19432520979939).

29306804947101 is a wasteful number, since it uses less digits than its factorization.

29306804947101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48904 (or 48675 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 29306804947101 in words is "twenty-nine trillion, three hundred six billion, eight hundred four million, nine hundred forty-seven thousand, one hundred one".

Divisors: 1 3 9 11 27 33 41 99 123 223 297 369 451 669 1107 1353 2007 2453 4059 6021 7359 9143 12177 22077 27429 48397 49729 66231 82287 100573 145191 149187 246861 301719 435573 447561 532367 547019 905157 1306719 1342683 1597101 1641057 1984277 2038889 2715471 4791303 4923171 5952831 6116667 10792531 14373909 14769513 17858493 18350001 21827047 22427779 32377593 53575479 55050003 65481141 67283337 97132779 118717841 196443423 201850011 291398337 356153523 442493771 589330269 605550033 1068460569 1327481313 2406734413 3205381707 3982443939 4867431481 7220203239 11947331817 14602294443 21660609717 26474078543 43806883329 64981829151 79422235629 98676110933 131420649987 238266706887 296028332799 714800120661 888084998397 1085437220263 2664254995191 3256311660789 9768934982367 29306804947101