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84745844854748 = 22721167760799551
BaseRepresentation
bin10011010001001101101101…
…111110101000111111011100
3102010001121211122020001012022
4103101031231332220333130
542101433442240322443
6500123411554155312
723564454015566600
oct2321155576507734
9363047748201168
1084745844854748
1125003569112310
12960838bb82b38
13383966406506c
1416cda13b4b500
159be679671e68
hex4d136dfa8fdc

84745844854748 has 144 divisors (see below), whose sum is σ = 188530547466240. Its totient is φ = 32960216016000.

The previous prime is 84745844854721. The next prime is 84745844854787.

84745844854748 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8872976573 + ... + 8872986123.

It is an arithmetic number, because the mean of its divisors is an integer number (1309239912960).

Almost surely, 284745844854748 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 84745844854748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94265273733120).

84745844854748 is an abundant number, since it is smaller than the sum of its proper divisors (103784702611492).

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

84745844854748 is a wasteful number, since it uses less digits than its factorization.

84745844854748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16336 (or 16327 counting only the distinct ones).

The product of its digits is 20552089600, while the sum is 80.

The spelling of 84745844854748 in words is "eighty-four trillion, seven hundred forty-five billion, eight hundred forty-four million, eight hundred fifty-four thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 677 1078 1354 2156 2708 4739 6079 7447 9478 9551 12158 14894 18956 19102 24316 29788 33173 38204 42553 52129 66346 66857 66869 85106 104258 105061 132692 133714 133738 170212 208516 210122 267428 267476 297871 364903 420244 467999 468083 595742 729806 735427 935998 936166 1191484 1459612 1470854 1871996 1872332 2941708 3276581 4115483 5147989 6466027 6553162 8230966 10295978 12932054 13106324 16461932 20591956 25864108 28808381 45262189 45270313 57616762 58060529 71126297 90524378 90540626 115233524 116121058 142252594 181048756 181081252 201658667 232242116 284505188 316835323 316892191 403317334 406423703 497884079 633670646 633784382 638665819 806634668 812847406 995768158 1267341292 1267568764 1277331638 1625694812 1991536316 2218245337 2554663276 2844965921 3485188553 4436490674 4470660733 5689931842 6970377106 8872981348 8941321466 11379863684 13940754212 17882642932 31294625131 39306978133 62589250262 78613956266 125178500524 157227912532 275148846931 432376759463 550297693862 864753518926 1100595387724 1729507037852 1926041928517 3026637316241 3852083857034 6053274632482 7704167714068 12106549264964 21186461213687 42372922427374 84745844854748