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4497981568 = 27192397829
BaseRepresentation
bin1000011000001100…
…11100000010000000
3102121110202010201221
410030012130002000
533202440402233
62022155204424
7216315132613
oct41406340200
912543663657
104497981568
1119a8aa2143
12a56446714
13568b4ab72
1430954217a
151b4d4042d
hex10c19c080

4497981568 has 128 divisors (see below), whose sum is σ = 9956016000. Its totient is φ = 2014543872.

The previous prime is 4497981559. The next prime is 4497981617. The reversal of 4497981568 is 8651897944.

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

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, 5425378 + ... + 5426206.

It is an arithmetic number, because the mean of its divisors is an integer number (77781375).

Almost surely, 24497981568 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 4497981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978008000).

4497981568 is an abundant number, since it is smaller than the sum of its proper divisors (5458034432).

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

4497981568 is a wasteful number, since it uses less digits than its factorization.

4497981568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 970 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 61.

The square root of 4497981568 is about 67066.9931337316. The cubic root of 4497981568 is about 1650.7167462127.

The spelling of 4497981568 in words is "four billion, four hundred ninety-seven million, nine hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 97 128 152 184 194 304 368 388 437 608 736 776 829 874 1216 1472 1552 1658 1748 1843 2231 2432 2944 3104 3316 3496 3686 4462 6208 6632 6992 7372 8924 12416 13264 13984 14744 15751 17848 19067 26528 27968 29488 31502 35696 38134 42389 53056 55936 58976 63004 71392 76268 80413 84778 106112 117952 126008 142784 152536 160826 169556 235904 252016 285568 305072 321652 339112 362273 504032 610144 643304 678224 724546 1008064 1220288 1286608 1356448 1449092 1527847 1849499 2016128 2440576 2573216 2712896 2898184 3055694 3698998 5146432 5425792 5796368 6111388 7397996 10292864 11592736 12222776 14795992 23185472 24445552 29591984 35140481 46370944 48891104 59183968 70280962 97782208 118367936 140561924 195564416 236735872 281123848 562247696 1124495392 2248990784 4497981568