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1445886668808 = 233373683134257
BaseRepresentation
bin10101000010100101100…
…011111011000000001000
312010020002022212002111000
4111002211203323000020
5142142133441400213
63024121533135000
7206314263621411
oct25024543730010
95106068762430
101445886668808
1150821936a77a
121b428062a460
13a64674247ca
144dda4924808
1527926844c73
hex150a58fb008

1445886668808 has 128 divisors (see below), whose sum is σ = 4077361756800. Its totient is φ = 474660476928.

The previous prime is 1445886668801. The next prime is 1445886668833. The reversal of 1445886668808 is 8088666885441.

It is a super-3 number, since 3×14458866688083 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1445886668801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10702416 + ... + 10836672.

It is an arithmetic number, because the mean of its divisors is an integer number (31854388725).

Almost surely, 21445886668808 is an apocalyptic number.

1445886668808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445886668808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038680878400).

1445886668808 is an abundant number, since it is smaller than the sum of its proper divisors (2631475087992).

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

1445886668808 is a wasteful number, since it uses less digits than its factorization.

1445886668808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135028 (or 135018 counting only the distinct ones).

The product of its (nonzero) digits is 566231040, while the sum is 72.

The spelling of 1445886668808 in words is "one trillion, four hundred forty-five billion, eight hundred eighty-six million, six hundred sixty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 683 876 1314 1366 1752 1971 2049 2628 2732 3942 4098 5256 5464 6147 7884 8196 12294 15768 16392 18441 24588 36882 49176 49859 73764 99718 134257 147528 149577 199436 268514 299154 398872 402771 448731 537028 598308 805542 897462 1074056 1196616 1208313 1346193 1611084 1794924 2416626 2692386 3222168 3589848 3624939 4833252 5384772 7249878 9666504 9800761 10769544 14499756 19601522 28999512 29402283 39203044 58804566 78406088 88206849 91697531 117609132 176413698 183395062 235218264 264620547 275092593 352827396 366790124 529241094 550185186 705654792 733580248 825277779 1058482188 1100370372 1650555558 2116964376 2200740744 2475833337 3301111116 4951666674 6602222232 6693919763 9903333348 13387839526 19806666696 20081759289 26775679052 40163518578 53551358104 60245277867 80327037156 120490555734 160654074312 180735833601 240981111468 361471667202 481962222936 722943334404 1445886668808