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13334946960272 = 2471814316412381
BaseRepresentation
bin1100001000001100100011…
…0001101101001110010000
31202012210211101022002010112
43002003020301231032100
53221434432410212042
644205553504220452
72544263262652430
oct302031061551620
952183741262115
1013334946960272
114281356a10543
1215b449a90a728
13759631a29b32
143415b45c82c0
15181d14dea982
hexc20c8c6d390

13334946960272 has 160 divisors (see below), whose sum is σ = 29818349503488. Its totient is φ = 5658992640000.

The previous prime is 13334946960271. The next prime is 13334946960323. The reversal of 13334946960272 is 27206964943331.

It is not an unprimeable number, because it can be changed into a prime (13334946960271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5600564522 + ... + 5600566902.

Almost surely, 213334946960272 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 13334946960272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909174751744).

13334946960272 is an abundant number, since it is smaller than the sum of its proper divisors (16483402543216).

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

13334946960272 is a wasteful number, since it uses less digits than its factorization.

13334946960272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 59.

The spelling of 13334946960272 in words is "thirteen trillion, three hundred thirty-four billion, nine hundred forty-six million, nine hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 431 641 724 862 1267 1282 1448 1724 2381 2534 2564 2896 3017 3448 4487 4762 5068 5128 6034 6896 8974 9524 10136 10256 12068 16667 17948 19048 20272 24136 33334 35896 38096 48272 66668 71792 78011 116021 133336 156022 232042 266672 276271 312044 430961 464084 546077 552542 624088 812147 861922 928168 1026211 1092154 1105084 1248176 1526221 1624294 1723844 1856336 1933897 2052422 2184308 2210168 3016727 3052442 3248588 3447688 3867794 4104844 4368616 4420336 6033454 6104884 6497176 6895376 7183477 7735588 8209688 8737232 10683547 12066908 12209768 12994352 14366954 15471176 16419376 21367094 24133816 24419536 28733908 30942352 42734188 48267632 50005051 57467816 85468376 100010102 114935632 170936752 185744191 200020204 276246001 350035357 371488382 400040408 552492002 657801251 700070714 742976764 800080816 1104984004 1300209337 1315602502 1400141428 1485953528 1933722007 2209968008 2600418674 2631205004 2800282856 2971907056 3867444014 4419936016 4604608757 5200837348 5262410008 5600565712 7734888028 9209217514 10401674696 10524820016 15469776056 18418435028 20803349392 30939552112 36836870056 73673740112 119062026431 238124052862 476248105724 833434185017 952496211448 1666868370034 1904992422896 3333736740068 6667473480136 13334946960272