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427149183816 = 233241223648871
BaseRepresentation
bin1100011011101000001…
…00110100101101001000
31111211112202112210202100
412031310010310231020
523444300142340231
6524121333233400
742601104104265
oct6156404645510
91454482483670
10427149183816
1115517563aaa3
126a94b492860
13313841c3454
1416961b5a26c
15b1a00eb1e6
hex6374134b48

427149183816 has 96 divisors (see below), whose sum is σ = 1190394616320. Its totient is φ = 138287174400.

The previous prime is 427149183779. The next prime is 427149183841. The reversal of 427149183816 is 618381941724.

427149183816 is a `hidden beast` number, since 4 + 2 + 71 + 491 + 8 + 3 + 81 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 333861 + ... + 982731.

It is an arithmetic number, because the mean of its divisors is an integer number (12399943920).

Almost surely, 2427149183816 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 427149183816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595197308160).

427149183816 is an abundant number, since it is smaller than the sum of its proper divisors (763245432504).

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

427149183816 is a wasteful number, since it uses less digits than its factorization.

427149183816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649147 (or 649140 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 427149183816 in words is "four hundred twenty-seven billion, one hundred forty-nine million, one hundred eighty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 223 246 328 369 446 492 669 738 892 984 1338 1476 1784 2007 2676 2952 4014 5352 8028 9143 16056 18286 27429 36572 54858 73144 82287 109716 164574 219432 329148 648871 658296 1297742 1946613 2595484 3893226 5190968 5839839 7786452 11679678 15572904 23359356 26603711 46718712 53207422 79811133 106414844 144698233 159622266 212829688 239433399 289396466 319244532 434094699 478866798 578792932 638489064 868189398 957733596 1157585864 1302284097 1736378796 1915467192 2604568194 3472757592 5209136388 5932627553 10418272776 11865255106 17797882659 23730510212 35595765318 47461020424 53393647977 71191530636 106787295954 142383061272 213574591908 427149183816