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6657487421056 = 2710723912231663
BaseRepresentation
bin110000011100001000100…
…1011000011111010000000
3212120110010202010011210021
41200320101023003322000
51333034013234433211
622054224004143224
71254662513244643
oct140702113037200
925513122104707
106657487421056
1121374740a828a
128b6323097b14
13393a4c032684
1419031cd5da5a
15b829ab95771
hex60e112c3e80

6657487421056 has 128 divisors (see below), whose sum is σ = 13462010265600. Its totient is φ = 3279178226688.

The previous prime is 6657487421047. The next prime is 6657487421107. The reversal of 6657487421056 is 6501247847566.

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

It is a junction number, because it is equal to n+sod(n) for n = 6657487420985 and 6657487421003.

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, 4003298881 + ... + 4003300543.

It is an arithmetic number, because the mean of its divisors is an integer number (105171955200).

Almost surely, 26657487421056 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 6657487421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731005132800).

6657487421056 is an abundant number, since it is smaller than the sum of its proper divisors (6804522844544).

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

6657487421056 is a wasteful number, since it uses less digits than its factorization.

6657487421056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 6657487421056 in words is "six trillion, six hundred fifty-seven billion, four hundred eighty-seven million, four hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 239 428 478 856 956 1223 1663 1712 1912 2446 3326 3424 3824 4892 6652 6848 7648 9784 13304 13696 15296 19568 25573 26608 30592 39136 51146 53216 78272 102292 106432 130861 156544 177941 204584 212864 261722 292297 355882 397457 409168 523444 584594 711764 794914 818336 1046888 1169188 1423528 1589828 1636672 2033849 2093776 2338376 2847056 3179656 3273344 4067698 4187552 4676752 5694112 6359312 8135396 8375104 9353504 11388224 12718624 16270792 16750208 18707008 22776448 25437248 31275779 32541584 37414016 42527899 50874496 62551558 65083168 85055798 125103116 130166336 170111596 217621843 250206232 260332672 340223192 435243686 486089911 500412464 680446384 870487372 972179822 1000824928 1360892768 1740974744 1944359644 2001649856 2721785536 3481949488 3888719288 4003299712 5443571072 6963898976 7777438576 13927797952 15554877152 27855595904 31109754304 52011620477 62219508608 104023240954 208046481908 416092963816 832185927632 1664371855264 3328743710528 6657487421056