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12269495750656 = 21222922392
BaseRepresentation
bin1011001010001011011011…
…1011111001000000000000
31121102221201020212201002211
42302202312323321000000
53102010411403010111
642032310055151504
72404304354053324
oct262426673710000
947387636781084
1012269495750656
113a00511539081
121461ab1375594
136b00158440c1
14305bbd735984
1516425759d521
hexb28b6ef9000

12269495750656 has 117 divisors (see below), whose sum is σ = 24747150743121. Its totient is φ = 6082402271232.

The previous prime is 12269495750627. The next prime is 12269495750689. The reversal of 12269495750656 is 65605759496221.

The square root of 12269495750656 is 3502784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11427212333056 + 842283417600 = 3380416^2 + 917760^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12269495750591 and 12269495750600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51336802185 + ... + 51336802423.

Almost surely, 212269495750656 is an apocalyptic number.

12269495750656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12269495750656 is the 3502784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12269495750656

12269495750656 is an abundant number, since it is smaller than the sum of its proper divisors (12477654992465).

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

12269495750656 is an frugal number, since it uses more digits than its factorization.

12269495750656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 67.

The spelling of 12269495750656 in words is "twelve trillion, two hundred sixty-nine billion, four hundred ninety-five million, seven hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 229 239 256 458 478 512 916 956 1024 1832 1912 2048 3664 3824 4096 7328 7648 14656 15296 29312 30592 52441 54731 57121 58624 61184 104882 109462 114242 117248 122368 209764 218924 228484 234496 244736 419528 437848 456968 468992 489472 839056 875696 913936 937984 978944 1678112 1751392 1827872 3356224 3502784 3655744 6712448 7005568 7311488 12533399 13080709 13424896 14011136 14622976 25066798 26161418 26849792 28022272 29245952 50133596 52322836 53699584 56044544 58491904 100267192 104645672 107399168 112089088 116983808 200534384 209291344 214798336 224178176 233967616 401068768 418582688 802137536 837165376 1604275072 1674330752 2995482361 3208550144 3348661504 5990964722 6417100288 6697323008 11981929444 12834200576 13394646016 23963858888 25668401152 26789292032 47927717776 51336802304 53578584064 95855435552 191710871104 383421742208 766843484416 1533686968832 3067373937664 6134747875328 12269495750656