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11334525345 = 33511131734537
BaseRepresentation
bin10101000111001011…
…10010000110100001
31002020220220112202000
422203211302012201
5141203114302340
65112414114213
7550610606253
oct124345620641
932226815660
1011334525345
114897053720
122243aab969
1310b8323140
147974adcd3
1546511cd30
hex2a39721a1

11334525345 has 128 divisors (see below), whose sum is σ = 25066298880. Its totient is φ = 4774256640.

The previous prime is 11334525299. The next prime is 11334525431. The reversal of 11334525345 is 54352543311.

11334525345 is a `hidden beast` number, since 113 + 3 + 4 + 5 + 2 + 534 + 5 = 666.

It is not a de Polignac number, because 11334525345 - 212 = 11334521249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 310917 + ... + 345453.

It is an arithmetic number, because the mean of its divisors is an integer number (195830460).

Almost surely, 211334525345 is an apocalyptic number.

11334525345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11334525345 is an abundant number, since it is smaller than the sum of its proper divisors (13731773535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11334525345 is a wasteful number, since it uses less digits than its factorization.

11334525345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34592 (or 34586 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 11334525345 in words is "eleven billion, three hundred thirty-four million, five hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 13 15 17 27 33 39 45 51 55 65 85 99 117 135 143 153 165 187 195 221 255 297 351 429 459 495 561 585 663 715 765 935 1105 1287 1485 1683 1755 1989 2145 2295 2431 2805 3315 3861 5049 5967 6435 7293 8415 9945 12155 19305 21879 25245 29835 34537 36465 65637 103611 109395 172685 310833 328185 379907 448981 518055 587129 932499 1139721 1346943 1554165 1761387 1899535 2244905 2935645 3419163 4040829 4662495 4938791 5284161 5698605 6458419 6734715 7632677 8806935 10257489 12122487 14816373 15852483 17095815 19375257 20204145 22898031 24693955 26420805 32292095 38163385 44449119 51287445 58125771 60612435 68694093 74081865 79262415 83959447 96876285 114490155 133347357 174377313 206082279 222245595 251878341 290628855 343470465 419797235 666736785 755635023 871886565 1030411395 1259391705 2266905069 3778175115 11334525345