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14668029768 = 23371035211627
BaseRepresentation
bin11011010100100100…
…00101111101001000
31101212020111010010210
431222102011331020
5220020003423033
610423254441120
71026326124120
oct155222057510
941766433123
1014668029768
1162477a1957
122a143631a0
1314c9b36572
149d20cbc80
155acadcd63
hex36a485f48

14668029768 has 128 divisors (see below), whose sum is σ = 42422814720. Its totient is φ = 4139665920.

The previous prime is 14668029751. The next prime is 14668029841. The reversal of 14668029768 is 86792086641.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9014571 + ... + 9016197.

It is an arithmetic number, because the mean of its divisors is an integer number (331428240).

Almost surely, 214668029768 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 14668029768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21211407360).

14668029768 is an abundant number, since it is smaller than the sum of its proper divisors (27754784952).

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

14668029768 is a wasteful number, since it uses less digits than its factorization.

14668029768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 14668029768 in words is "fourteen billion, six hundred sixty-eight million, twenty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 521 618 721 824 1042 1236 1442 1563 1627 2084 2163 2472 2884 3126 3254 3647 4168 4326 4881 5768 6252 6508 7294 8652 9762 10941 11389 12504 13016 14588 17304 19524 21882 22778 29176 34167 39048 43764 45556 53663 68334 87528 91112 107326 136668 160989 167581 214652 273336 321978 335162 375641 429304 502743 643956 670324 751282 847667 1005486 1126923 1173067 1287912 1340648 1502564 1695334 2010972 2253846 2346134 2543001 3005128 3390668 3519201 4021944 4507692 4692268 5086002 5933669 6781336 7038402 9015384 9384536 10172004 11867338 14076804 17801007 20344008 23734676 28153608 35602014 47469352 71204028 87309701 142408056 174619402 261929103 349238804 523858206 611167907 698477608 1047716412 1222335814 1833503721 2095432824 2444671628 3667007442 4889343256 7334014884 14668029768