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14585587968 = 28374166173
BaseRepresentation
bin11011001010101111…
…00110100100000000
31101122111100122020210
431211113212210000
5214332402303333
610411151434120
71024305311040
oct154527464400
941574318223
1014585587968
116205203136
1229b0825940
1314b5a2c933
149c518b720
155a5755a63
hex3655e6900

14585587968 has 144 divisors (see below), whose sum is σ = 45447244416. Its totient is φ = 4065607680.

The previous prime is 14585587957. The next prime is 14585587987. The reversal of 14585587968 is 86978558541.

It is a junction number, because it is equal to n+sod(n) for n = 14585587899 and 14585587908.

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, 187330 + ... + 253502.

It is an arithmetic number, because the mean of its divisors is an integer number (315605864).

Almost surely, 214585587968 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 14585587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22723622208).

14585587968 is an abundant number, since it is smaller than the sum of its proper divisors (30861656448).

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

14585587968 is an equidigital number, since it uses as much as digits as its factorization.

14585587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66240 (or 66226 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 66.

The spelling of 14585587968 in words is "fourteen billion, five hundred eighty-five million, five hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 287 328 336 384 448 492 574 656 672 768 861 896 984 1148 1312 1344 1722 1792 1968 2296 2624 2688 3444 3936 4592 5248 5376 6888 7872 9184 10496 13776 15744 18368 27552 31488 36736 55104 66173 73472 110208 132346 198519 220416 264692 397038 463211 529384 794076 926422 1058768 1389633 1588152 1852844 2117536 2713093 2779266 3176304 3705688 4235072 5426186 5558532 6352608 7411376 8139279 8470144 10852372 11117064 12705216 14822752 16278558 16940288 18991651 21704744 22234128 25410432 29645504 32557116 37983302 43409488 44468256 50820864 56974953 59291008 65114232 75966604 86818976 88936512 113949906 118582016 130228464 151933208 173637952 177873024 227899812 260456928 303866416 347275904 355746048 455799624 520913856 607732832 694551808 911599248 1041827712 1215465664 1823198496 2083655424 2430931328 3646396992 4861862656 7292793984 14585587968