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9941160676689 = 32117168310391993
BaseRepresentation
bin1001000010101001101101…
…0110011100110101010001
31022012100212120122221011200
42100222123112130311101
52300333444113123224
633050523422101413
72044140141345534
oct220523326346521
938170776587150
109941160676689
1131930280445a0
1211467b671a869
135715a8004c98
14265224890a1b
151238d455e5c9
hex90a9b59cd51

9941160676689 has 96 divisors (see below), whose sum is σ = 15932051066880. Its totient is φ = 5922708422400.

The previous prime is 9941160676669. The next prime is 9941160676717. The reversal of 9941160676689 is 9866760611499.

9941160676689 is a `hidden beast` number, since 9 + 9 + 4 + 1 + 1 + 606 + 7 + 6 + 6 + 8 + 9 = 666.

It is not a de Polignac number, because 9941160676689 - 213 = 9941160668497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9941160676669) 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, 4988037477 + ... + 4988039469.

It is an arithmetic number, because the mean of its divisors is an integer number (165958865280).

Almost surely, 29941160676689 is an apocalyptic number.

9941160676689 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9941160676689 is a deficient number, since it is larger than the sum of its proper divisors (5990890390191).

9941160676689 is a wasteful number, since it uses less digits than its factorization.

9941160676689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 9941160676689 in words is "nine trillion, nine hundred forty-one billion, one hundred sixty million, six hundred seventy-six thousand, six hundred eighty-nine".

Divisors: 1 3 9 11 33 71 99 213 639 683 781 1039 1993 2049 2343 3117 5979 6147 7029 7513 9351 11429 17937 21923 22539 34287 48493 65769 67617 73769 102861 141503 145479 197307 221307 424509 436437 533423 663921 709637 811459 1273527 1361219 1556533 1600269 2070727 2128911 2434377 4083657 4669599 4800807 6212181 6386733 7303131 7806007 12250971 14008797 14973409 18636543 22777997 23418021 44920227 50384227 68333991 70254063 96646549 134760681 147021617 151152681 205001973 289939647 441064851 453458043 554226497 869818941 1063112039 1323194553 1414306541 1617237787 1662679491 3189336117 4242919623 4851713361 4988038473 9568008351 12728758869 14555140083 15557371951 46672115853 100415764411 140016347559 301247293233 903741879699 1104573408521 3313720225563 9941160676689