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9817997189 = 7111323218541
BaseRepresentation
bin10010010010011001…
…01011111110000101
3221100020021221012112
421021030223332011
5130101401402224
64302121430405
7465204412340
oct111114537605
927306257175
109817997189
114189004670
121aa003b405
13c06094ac0
14691d07457
153c6e0b30e
hex24932bf85

9817997189 has 48 divisors (see below), whose sum is σ = 13781007744. Its totient is φ = 6754492800.

The previous prime is 9817997173. The next prime is 9817997201.

9817997189 is nontrivially palindromic in base 10.

9817997189 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 9817997189 - 24 = 9817997173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9817997149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520259 + ... + 538799.

It is an arithmetic number, because the mean of its divisors is an integer number (287104328).

Almost surely, 29817997189 is an apocalyptic number.

It is an amenable number.

9817997189 is a deficient number, since it is larger than the sum of its proper divisors (3963010555).

9817997189 is a wasteful number, since it uses less digits than its factorization.

9817997189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18618 (or 18595 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 68.

The square root of 9817997189 is about 99085.8072026463. The cubic root of 9817997189 is about 2141.2841441853.

The spelling of 9817997189 in words is "nine billion, eight hundred seventeen million, nine hundred ninety-seven thousand, one hundred eighty-nine".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 529 1001 1771 2093 3289 3703 5819 6877 18541 23023 40733 48139 75647 129787 203951 241033 426443 529529 1427657 1687231 2651363 2985101 4690873 5543759 9808189 18559541 32836111 38806313 60981349 68657323 107890079 127506457 426869443 755230553 892545199 1402571027 9817997189