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14708753664 = 283114334021
BaseRepresentation
bin11011011001011010…
…11100010100000000
31101222002010002211020
431230231130110000
5220110420104124
610431311345440
71030332225513
oct155455342400
941862102736
1014708753664
116268787370
122a25b22280
1315053c4747
149d768cd7a
155b1484379
hex36cb5c500

14708753664 has 144 divisors (see below), whose sum is σ = 42814801344. Its totient is φ = 4445798400.

The previous prime is 14708753659. The next prime is 14708753681. The reversal of 14708753664 is 46635780741.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3655974 + ... + 3659994.

Almost surely, 214708753664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14708753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407400672).

14708753664 is an abundant number, since it is smaller than the sum of its proper divisors (28106047680).

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

14708753664 is a wasteful number, since it uses less digits than its factorization.

14708753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 14708753664 in words is "fourteen billion, seven hundred eight million, seven hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 433 528 704 768 866 1056 1299 1408 1732 2112 2598 2816 3464 4021 4224 4763 5196 6928 8042 8448 9526 10392 12063 13856 14289 16084 19052 20784 24126 27712 28578 32168 38104 41568 44231 48252 55424 57156 64336 76208 83136 88462 96504 110848 114312 128672 132693 152416 166272 176924 193008 228624 257344 265386 304832 332544 353848 386016 457248 514688 530772 609664 707696 772032 914496 1029376 1061544 1219328 1415392 1544064 1741093 1828992 2123088 2830784 3088128 3482186 3657984 4246176 5223279 5661568 6964372 8492352 10446558 11323136 13928744 16984704 19152023 20893116 27857488 33969408 38304046 41786232 55714976 57456069 76608092 83572464 111429952 114912138 153216184 167144928 222859904 229824276 306432368 334289856 445719808 459648552 612864736 668579712 919297104 1225729472 1337159424 1838594208 2451458944 3677188416 4902917888 7354376832 14708753664