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97017988971079 = 11431006120386843
BaseRepresentation
bin10110000011110011000010…
…110001001111101001000111
3110201111211101110110200000201
4112003303002301033221013
5100204020320134033304
6542201240541151331
726302214131464031
oct2603630261175107
9421454343420021
1097017988971079
1128a0510957a750
12aa6a8a025b547
1342199ac484637
1419d59a50b4c51
15b339d94a63a4
hex583cc2c4fa47

97017988971079 has 16 divisors (see below), whose sum is σ = 108309920045184. Its totient is φ = 86138484818400.

The previous prime is 97017988971049. The next prime is 97017988971083.

97017988971079 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 97017988971079 - 217 = 97017988840007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 97017988970993 and 97017988971011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97017988971049) 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 15 ways as a sum of consecutive naturals, for example, 5434569 + ... + 14952274.

It is an arithmetic number, because the mean of its divisors is an integer number (6769370002824).

Almost surely, 297017988971079 is an apocalyptic number.

97017988971079 is a deficient number, since it is larger than the sum of its proper divisors (11291931074105).

97017988971079 is a wasteful number, since it uses less digits than its factorization.

97017988971079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20396958.

The product of its (nonzero) digits is 1008189504, while the sum is 82.

The spelling of 97017988971079 in words is "ninety-seven trillion, seventeen billion, nine hundred eighty-eight million, nine hundred seventy-one thousand, seventy-nine".

Divisors: 1 11 43 473 10061 110671 432623 4758853 20386843 224255273 876634249 9642976739 205112027423 2256232301653 8819817179189 97017988971079