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14786845721472 = 273115875963669
BaseRepresentation
bin1101011100101101010010…
…1011111100001110000000
31221100121102200222002221010
43113023110223330032000
53414231430001041342
651240552205400520
73054212551545246
oct327132453741600
957317380862833
1014786845721472
11479107aa10210
1217a9958869140
13833516892456
14391989788796
151a998e46629c
hexd72d4afc380

14786845721472 has 128 divisors (see below), whose sum is σ = 42921248630400. Its totient is φ = 4473228093440.

The previous prime is 14786845721437. The next prime is 14786845721503. The reversal of 14786845721472 is 27412754868741.

14786845721472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×147868457214722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502347 + ... + 5461322.

It is an arithmetic number, because the mean of its divisors is an integer number (335322254925).

Almost surely, 214786845721472 is an apocalyptic number.

14786845721472 is a gapful number since it is divisible by the number (12) 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 14786845721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21460624315200).

14786845721472 is an abundant number, since it is smaller than the sum of its proper divisors (28134402908928).

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

14786845721472 is a wasteful number, since it uses less digits than its factorization.

14786845721472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964284 (or 5964272 counting only the distinct ones).

The product of its digits is 168591360, while the sum is 66.

The spelling of 14786845721472 in words is "fourteen trillion, seven hundred eighty-six billion, eight hundred forty-five million, seven hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 587 704 1056 1174 1408 1761 2112 2348 3522 4224 4696 6457 7044 9392 12914 14088 18784 19371 25828 28176 37568 38742 51656 56352 75136 77484 103312 112704 154968 206624 225408 309936 413248 619872 826496 1239744 2479488 5963669 11927338 17891007 23854676 35782014 47709352 65600359 71564028 95418704 131200718 143128056 190837408 196801077 262401436 286256112 381674816 393602154 524802872 572512224 763349632 787204308 1049605744 1145024448 1574408616 2099211488 2290048896 3148817232 3500673703 4198422976 6297634464 7001347406 8396845952 10502021109 12595268928 14002694812 21004042218 25190537856 28005389624 38507410733 42008084436 56010779248 77014821466 84016168872 112021558496 115522232199 154029642932 168032337744 224043116992 231044464398 308059285864 336064675488 448086233984 462088928796 616118571728 672129350976 924177857592 1232237143456 1344258701952 1848355715184 2464474286912 3696711430368 4928948573824 7393422860736 14786845721472