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12248058716960 = 2551121788135381
BaseRepresentation
bin1011001000111011100100…
…1100000110001100100000
31121100220101021022120012212
42302032321030012030200
53101133011012420320
642014402553141252
72402615212221653
oct262167114061440
947326337276185
1012248058716960
1139a2410926400
12145990a0ba828
136aacaa522391
14304b4865b89a
151639005c49c5
hexb23b9306320

12248058716960 has 144 divisors (see below), whose sum is σ = 31808406253176. Its totient is φ = 4453464576000.

The previous prime is 12248058716953. The next prime is 12248058717017. The reversal of 12248058716960 is 6961785084221.

It can be written as a sum of positive squares in 4 ways, for example, as 11058205350544 + 1189853366416 = 3325388^2 + 1090804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12248058716960.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346158470 + ... + 346193850.

Almost surely, 212248058716960 is an apocalyptic number.

12248058716960 is a gapful number since it is divisible by the number (10) 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 12248058716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15904203126588).

12248058716960 is an abundant number, since it is smaller than the sum of its proper divisors (19560347536216).

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

12248058716960 is a wasteful number, since it uses less digits than its factorization.

12248058716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53299 (or 53280 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 12248058716960 in words is "twelve trillion, two hundred forty-eight billion, fifty-eight million, seven hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 9680 17881 19360 35381 35762 70762 71524 89405 141524 143048 176905 178810 196691 283048 286096 353810 357620 389191 393382 566096 572192 707620 715240 778382 786764 983455 1132192 1415240 1430480 1556764 1573528 1945955 1966910 2163601 2830480 2860960 3113528 3147056 3891910 3933820 4281101 4327202 5660960 6227056 6294112 7783820 7867640 8562202 8654404 10818005 12454112 15567640 15735280 17124404 17308808 21405505 21636010 31135280 31470560 34248808 34617616 42811010 43272020 62270560 68497616 69235232 85622020 86544040 136995232 171244040 173088080 342488080 346176160 632647661 684976160 1265295322 2530590644 3163238305 5061181288 6326476610 6959124271 10122362576 12652953220 13918248542 20244725152 25305906440 27836497084 34795621355 50611812880 55672994168 69591242710 76550366981 101223625760 111345988336 139182485420 153100733962 222691976672 278364970840 306201467924 382751834905 556729941680 612402935848 765503669810 1113459883360 1224805871696 1531007339620 2449611743392 3062014679240 6124029358480 12248058716960