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43680661431617 = 7223414383926203
BaseRepresentation
bin10011110111010001100100…
…10011101110010101000001
312201122211102101202121212002
421323220302103232111001
521211130443311302432
6232522341400313345
712125552340025400
oct1173506223562501
9181584371677762
1043680661431617
1112a10956697821
124a95731172855
131b4b0b7c14012
14ab02261a9637
1550b37a8a1e62
hex27ba324ee541

43680661431617 has 96 divisors (see below), whose sum is σ = 55646126807040. Its totient is φ = 34084718680320.

The previous prime is 43680661431529. The next prime is 43680661431637. The reversal of 43680661431617 is 71613416608634.

It is a happy number.

43680661431617 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 43680661431617 - 244 = 26088475387201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (43680661431637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1666996838 + ... + 1667023040.

It is an arithmetic number, because the mean of its divisors is an integer number (579647154240).

Almost surely, 243680661431617 is an apocalyptic number.

It is an amenable number.

43680661431617 is a deficient number, since it is larger than the sum of its proper divisors (11965465375423).

43680661431617 is a wasteful number, since it uses less digits than its factorization.

43680661431617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27163 (or 27156 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 43680661431617 in words is "forty-three trillion, six hundred eighty billion, six hundred sixty-one million, four hundred thirty-one thousand, six hundred seventeen".

Divisors: 1 7 23 41 43 49 161 287 301 839 943 989 1127 1763 2009 2107 5873 6601 6923 12341 19297 26203 34399 36077 40549 41111 46207 48461 86387 135079 183421 240793 252539 283843 602669 791177 829771 945553 1074323 1126729 1283947 1479157 1685551 1767773 1986901 4218683 5538239 5808397 7520261 7887103 10354099 21984317 24709429 25914767 29530781 34020611 38767673 40658779 46195889 52641827 55209721 72478693 153890219 172966003 181403369 238144277 323371223 505639291 901356997 945325631 1062505447 1077231533 1210762021 1269823583 1667009939 2263598561 3539475037 6309498979 6617279417 7437538129 20731210931 21742489513 24776325259 38758350871 44166492853 46320955919 52062766903 145118476517 152197426591 271308456097 891442070033 1015829335619 1065381986137 1899159192679 6240094490231 43680661431617