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8234818828272 = 2433127150095123
BaseRepresentation
bin111011111010101000101…
…1100110111011111110000
31002011020111200102211102000
41313311101130313133300
52034404402110001042
625303005030254000
71506642326061141
oct167652134673760
932136450384360
108234818828272
112695404602473
12b0bb681b7300
134797037429aa
142067d2b89ac8
15e43170ce74c
hex77d517377f0

8234818828272 has 80 divisors (see below), whose sum is σ = 23823098081280. Its totient is φ = 2723325893568.

The previous prime is 8234818828259. The next prime is 8234818828277. The reversal of 8234818828272 is 2728288184328.

8234818828272 is a `hidden beast` number, since 8 + 2 + 3 + 481 + 8 + 8 + 2 + 82 + 72 = 666.

It is a super-2 number, since 2×82348188282722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8234818828277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74992698 + ... + 75102425.

It is an arithmetic number, because the mean of its divisors is an integer number (297788726016).

Almost surely, 28234818828272 is an apocalyptic number.

It is an amenable number.

8234818828272 is an abundant number, since it is smaller than the sum of its proper divisors (15588279253008).

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

8234818828272 is a wasteful number, since it uses less digits than its factorization.

8234818828272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150095267 (or 150095255 counting only the distinct ones).

The product of its digits is 44040192, while the sum is 63.

The spelling of 8234818828272 in words is "eight trillion, two hundred thirty-four billion, eight hundred eighteen million, eight hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 13716 18288 27432 54864 150095123 300190246 450285369 600380492 900570738 1200760984 1350856107 1801141476 2401521968 2701712214 3602282952 4052568321 5403424428 7204565904 8105136642 10806848856 16210273284 19062080621 21613697712 32420546568 38124161242 57186241863 64841093136 76248322484 114372483726 152496644968 171558725589 228744967452 304993289936 343117451178 457489934904 514676176767 686234902356 914979869808 1029352353534 1372469804712 2058704707068 2744939609424 4117409414136 8234818828272