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768971129514 = 237477916729527
BaseRepresentation
bin10110011000010100100…
…00000100001010101010
32201111211220211210122020
423030022100010022222
5100044323102121024
61345132132005310
7106361551516530
oct13141220041252
92644756753566
10768971129514
11277134179085
12105046a60836
135768a6a9593
142930b416150
15150091d2979
hexb30a4042aa

768971129514 has 128 divisors (see below), whose sum is σ = 1828713922560. Its totient is φ = 211031061696.

The previous prime is 768971129513. The next prime is 768971129573. The reversal of 768971129514 is 415921179867.

It is not an unprimeable number, because it can be changed into a prime (768971129513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26028219 + ... + 26057745.

It is an arithmetic number, because the mean of its divisors is an integer number (14286827520).

Almost surely, 2768971129514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768971129514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914356961280).

768971129514 is an abundant number, since it is smaller than the sum of its proper divisors (1059742793046).

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

768971129514 is a wasteful number, since it uses less digits than its factorization.

768971129514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29832.

The product of its digits is 7620480, while the sum is 60.

The spelling of 768971129514 in words is "seven hundred sixty-eight billion, nine hundred seventy-one million, one hundred twenty-nine thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 79 94 141 158 167 237 282 329 334 474 501 553 658 987 1002 1106 1169 1659 1974 2338 3318 3507 3713 7014 7426 7849 11139 13193 15698 22278 23547 25991 26386 29527 39579 47094 51982 54943 59054 77973 79158 88581 92351 109886 155946 164829 177162 184702 206689 277053 329658 413378 554106 620067 620071 1240134 1240142 1387769 1860213 2332633 2775538 3720426 4163307 4340497 4665266 4931009 6997899 8326614 8680994 9714383 9862018 13021491 13995798 14793027 16328431 19428766 26042982 29143149 29586054 32656862 34517063 48985293 58286298 69034126 97970586 103551189 109633751 207102378 219267502 231757423 328901253 389549711 463514846 657802506 695272269 767436257 779099422 1168649133 1390544538 1534872514 1622301961 2302308771 2337298266 2726847977 3244603922 4604617542 4866905883 5453695954 8180543931 9733811766 16361087862 18308836417 36617672834 54926509251 109853018502 128161854919 256323709838 384485564757 768971129514