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80563019522704 = 24232137197935107
BaseRepresentation
bin10010010100010110001010…
…001010010010001010010000
3101120020202020100102012001221
4102110112022022102022100
541024421030444211304
6443202050142534424
722653325504110625
oct2224261212221220
9346222210365057
1080563019522704
1123740648279804
1290517a0297414
1335c50a21987a4
1415c73b16b634c
1594a967e1d054
hex49458a292290

80563019522704 has 120 divisors (see below), whose sum is σ = 164451254758560. Its totient is φ = 38228481544704.

The previous prime is 80563019522651. The next prime is 80563019522831. The reversal of 80563019522704 is 40722591036508.

It is a super-3 number, since 3×805630195227043 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294767519 + ... + 2294802625.

It is an arithmetic number, because the mean of its divisors is an integer number (1370427122988).

It is a 1-persistent number, because it is pandigital, but 2⋅80563019522704 = 161126039045408 is not.

Almost surely, 280563019522704 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 80563019522704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82225627379280).

80563019522704 is an abundant number, since it is smaller than the sum of its proper divisors (83888235235856).

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

80563019522704 is a wasteful number, since it uses less digits than its factorization.

80563019522704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37277 (or 37248 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 80563019522704 in words is "eighty trillion, five hundred sixty-three billion, nineteen million, five hundred twenty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 46 92 137 184 274 368 529 548 1058 1096 1979 2116 2192 3151 3958 4232 6302 7916 8464 12604 15832 25208 31664 35107 45517 50416 70214 72473 91034 140428 144946 182068 271123 280856 289892 364136 542246 561712 579784 728272 807461 1046891 1084492 1159568 1614922 2093782 2168984 3229844 4187564 4337968 4809659 6235829 6459688 8375128 9619318 12471658 12919376 16750256 18571603 19238636 24943316 37143206 38477272 49886632 69476753 74286412 76954544 99773264 110622157 138953506 143424067 148572824 221244314 277907012 286848134 297145648 442488628 555814024 573696268 884977256 1111628048 1147392536 1597965319 1769954512 2294785072 2544309611 3195930638 5088619222 6391861276 9518315161 10177238444 12783722552 19036630322 20354476888 25567445104 36753202337 38073260644 40708953776 73506404674 76146521288 147012809348 152293042576 218921248703 294025618696 437842497406 588051237392 875684994812 1751369989624 3502739979248 5035188720169 10070377440338 20140754880676 40281509761352 80563019522704