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9688438348869 = 373919117722431
BaseRepresentation
bin1000110011111100001111…
…1011010001110001000101
31021022012112221000111100010
42030333003323101301011
52232213410204130434
632334450201340433
72016652351120140
oct214770373216105
937265487014303
109688438348869
1130a5930964145
121105826497719
13553800c42837
14256ccc6b7057
1511c04274e9e9
hex8cfc3ed1c45

9688438348869 has 16 divisors (see below), whose sum is σ = 14767101870080. Its totient is φ = 5534837768880.

The previous prime is 9688438348859. The next prime is 9688438348871.

9688438348869 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9688438348869 - 29 = 9688438348357 is a prime.

It is a super-2 number, since 2×96884383488692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9688438348791 and 9688438348800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9688438348859) 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, 58778917 + ... + 58943514.

It is an arithmetic number, because the mean of its divisors is an integer number (922943866880).

Almost surely, 29688438348869 is an apocalyptic number.

It is an amenable number.

9688438348869 is a deficient number, since it is larger than the sum of its proper divisors (5078663521211).

9688438348869 is a wasteful number, since it uses less digits than its factorization.

9688438348869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117726360.

The product of its digits is 13759414272, while the sum is 84.

The spelling of 9688438348869 in words is "nine trillion, six hundred eighty-eight billion, four hundred thirty-eight million, three hundred forty-eight thousand, eight hundred sixty-nine".

Divisors: 1 3 7 21 3919 11757 27433 82299 117722431 353167293 824057017 2472171051 461354207089 1384062621267 3229479449623 9688438348869