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83418406848 = 263376896363
BaseRepresentation
bin100110110110000011…
…1111101111111000000
321222022120110010122000
41031230013331333000
52331320103004343
6102153305544000
76012120521220
oct1155407757700
9258276403560
1083418406848
1132417574807
12142007a5000
137b35403b6a
144074b78080
15228365eed3
hex136c1fdfc0

83418406848 has 112 divisors (see below), whose sum is σ = 280268232960. Its totient is φ = 23833827072.

The previous prime is 83418406847. The next prime is 83418406859. The reversal of 83418406848 is 84860481438.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83418406794 and 83418406803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83418406843) 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, 3436086 + ... + 3460277.

Almost surely, 283418406848 is an apocalyptic number.

It is an amenable number.

83418406848 is an abundant number, since it is smaller than the sum of its proper divisors (196849826112).

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

83418406848 is a wasteful number, since it uses less digits than its factorization.

83418406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896391 (or 6896375 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 83418406848 in words is "eighty-three billion, four hundred eighteen million, four hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 6896363 13792726 20689089 27585452 41378178 48274541 55170904 62067267 82756356 96549082 110341808 124134534 144823623 165512712 186201801 193098164 220683616 248269068 289647246 331025424 372403602 386196328 434470869 441367232 496538136 579294492 662050848 744807204 772392656 868941738 993076272 1158588984 1303412607 1324101696 1489614408 1544785312 1737883476 1986152544 2317177968 2606825214 2979228816 3089570624 3475766952 3972305088 4634355936 5213650428 5958457632 6951533904 9268711872 10427300856 11916915264 13903067808 20854601712 27806135616 41709203424 83418406848