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29947610385 = 355711320107
BaseRepresentation
bin11011111001000001…
…000100010100010001
32212022002201020100000
4123321001010110101
5442313042013020
621431401120213
72110062326310
oct337101042421
985262636300
1029947610385
1111778710a30
125979489069
132a93581124
1416414cc277
15ba422b090
hex6f9044511

29947610385 has 96 divisors (see below), whose sum is σ = 67115123712. Its totient is φ = 12445721280.

The previous prime is 29947610333. The next prime is 29947610401. The reversal of 29947610385 is 58301674992.

29947610385 is a `hidden beast` number, since 2 + 99 + 476 + 1 + 0 + 3 + 85 = 666.

It is not a de Polignac number, because 29947610385 - 26 = 29947610321 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66499 + ... + 253608.

It is an arithmetic number, because the mean of its divisors is an integer number (699115872).

It is a 1-persistent number, because it is pandigital, but 2⋅29947610385 = 59895220770 is not.

Almost surely, 229947610385 is an apocalyptic number.

It is an amenable number.

29947610385 is an abundant number, since it is smaller than the sum of its proper divisors (37167513327).

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

29947610385 is a wasteful number, since it uses less digits than its factorization.

29947610385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320145 (or 320133 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 29947610385 in words is "twenty-nine billion, nine hundred forty-seven million, six hundred ten thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 243 297 315 385 405 495 567 693 891 945 1155 1215 1485 1701 2079 2673 2835 3465 4455 6237 8505 10395 13365 18711 31185 93555 320107 960321 1600535 2240749 2880963 3521177 4801605 6722247 8642889 10563531 11203745 14404815 17605885 20166741 24648239 25928667 31690593 33611235 43214445 52817655 60500223 73944717 77786001 95071779 100833705 123241195 129643335 158452965 181500669 221834151 285215337 302501115 369723585 388930005 475358895 544502007 665502453 855646011 907503345 1109170755 1426076685 1996507359 2722510035 3327512265 4278230055 5989522077 9982536795 29947610385