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11295768079869 = 3721312796748131
BaseRepresentation
bin1010010001100000000000…
…1111100110110111111101
31110222212100111110212222220
42210120000033212313331
52440032213112023434
640005112035555553
72244043443321300
oct244300017466775
943885314425886
1011295768079869
113665565667a59
121325241a5bbb9
1363c25657bcc0
142b0a0a632b37
15148c67580d49
hexa46003e6dfd

11295768079869 has 96 divisors (see below), whose sum is σ = 19036281470976. Its totient is φ = 5905056608640.

The previous prime is 11295768079859. The next prime is 11295768079907. The reversal of 11295768079869 is 96897086759211.

11295768079869 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11295768079869 - 25 = 11295768079837 is a prime.

It is a super-2 number, since 2×112957680798692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11295768079794 and 11295768079803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11295768079859) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234663934 + ... + 234712064.

It is an arithmetic number, because the mean of its divisors is an integer number (198294598656).

Almost surely, 211295768079869 is an apocalyptic number.

It is an amenable number.

11295768079869 is a deficient number, since it is larger than the sum of its proper divisors (7740513391107).

11295768079869 is a wasteful number, since it uses less digits than its factorization.

11295768079869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49255 (or 49248 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 78.

The spelling of 11295768079869 in words is "eleven trillion, two hundred ninety-five billion, seven hundred sixty-eight million, seventy-nine thousand, eight hundred sixty-nine".

Divisors: 1 3 7 13 21 39 49 91 127 147 273 381 637 889 967 1651 1911 2667 2901 4953 6223 6769 11557 12571 18669 20307 34671 37713 47383 48131 80899 87997 122809 142149 144393 242697 263991 336917 368427 615979 625703 859663 1010751 1596517 1847937 1877109 2358419 2578989 4379921 4789551 6017641 6112637 7075257 11175619 13139763 18052923 18337911 30659447 33526857 42788459 46542677 78229333 79464281 91978341 128365377 139628031 234687999 238392843 299519213 325798739 556249967 605054801 898557639 977396217 1668749901 1815164403 2280591173 3893749769 4235383607 5910919979 6841773519 11681249307 12706150821 17732759937 29647685249 41376439853 76841959727 88943055747 124129319559 230525879181 289635078971 537893718089 868905236913 1613681154267 3765256026623 11295768079869