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12651700820016 = 2437113772737273
BaseRepresentation
bin1011100000011011010000…
…1000100001100000110000
31122210111020210010221100110
42320012310020201200300
53124241140402220031
642524040000221320
72444024640412146
oct270066410414060
948714223127313
1012651700820016
114038613313725
121503b9900a840
1370a08659268b
1431a4ba40d596
1516e176ae9c46
hexb81b4221830

12651700820016 has 160 divisors (see below), whose sum is σ = 33432638174208. Its totient is φ = 4121698775040.

The previous prime is 12651700819873. The next prime is 12651700820023. The reversal of 12651700820016 is 61002800715621.

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, 339414756 + ... + 339452028.

Almost surely, 212651700820016 is an apocalyptic number.

12651700820016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12651700820016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716319087104).

12651700820016 is an abundant number, since it is smaller than the sum of its proper divisors (20780937354192).

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

12651700820016 is a wasteful number, since it uses less digits than its factorization.

12651700820016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38219 (or 38213 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 12651700820016 in words is "twelve trillion, six hundred fifty-one billion, seven hundred million, eight hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 137 142 213 274 284 411 426 548 568 727 822 852 1096 1136 1454 1644 1704 2181 2192 2908 3288 3408 4362 5816 6576 8724 9727 11632 17448 19454 29181 34896 37273 38908 51617 58362 74546 77816 99599 103234 111819 116724 149092 154851 155632 199198 206468 223638 233448 298184 298797 309702 398396 412936 447276 466896 596368 597594 619404 796792 825872 894552 1195188 1238808 1593584 1789104 2390376 2477616 2646383 4780752 5106401 5292766 7071529 7939149 10212802 10585532 14143058 15319203 15878298 20425604 21171064 21214587 27097471 28286116 30638406 31756596 40851208 42342128 42429174 54194942 56572232 61276812 63513192 81292413 81702416 84858348 108389884 113144464 122553624 127026384 162584826 169716696 216779768 245107248 325169652 339433392 362554471 433559536 650339304 725108942 1087663413 1300678608 1450217884 1923920441 2175326826 2900435768 3712353527 3847840882 4350653652 5771761323 5800871536 7424707054 7695681764 8701307304 11137060581 11543522646 14849414108 15391363528 17402614608 22274121162 23087045292 29698828216 30782727056 44548242324 46174090584 59397656432 89096484648 92348181168 178192969296 263577100417 527154200834 790731301251 1054308401668 1581462602502 2108616803336 3162925205004 4217233606672 6325850410008 12651700820016