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131973541469 = 72111932235689
BaseRepresentation
bin111101011101000111…
…1000110111001011101
3110121122110111112120022
41322322033012321131
54130240211311334
6140343335001525
712351266410400
oct1727217067135
9417573445508
10131973541469
1150a73695040
12216b18092a5
13c5a2a16b53
14655d637d37
15367624b82e
hex1eba3c6e5d

131973541469 has 48 divisors (see below), whose sum is σ = 169129013760. Its totient is φ = 101827031040.

The previous prime is 131973541463. The next prime is 131973541481. The reversal of 131973541469 is 964145379131.

It is not a de Polignac number, because 131973541469 - 28 = 131973541213 is a prime.

It is a super-2 number, since 2×1319735414692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131973541469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131973541463) 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 47 ways as a sum of consecutive naturals, for example, 23195177 + ... + 23200865.

It is an arithmetic number, because the mean of its divisors is an integer number (3523521120).

Almost surely, 2131973541469 is an apocalyptic number.

It is an amenable number.

131973541469 is a deficient number, since it is larger than the sum of its proper divisors (37155472291).

131973541469 is a wasteful number, since it uses less digits than its factorization.

131973541469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6123 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 53.

The spelling of 131973541469 in words is "one hundred thirty-one billion, nine hundred seventy-three million, five hundred forty-one thousand, four hundred sixty-nine".

Divisors: 1 7 11 49 77 193 223 539 1351 1561 2123 2453 5689 9457 10927 14861 17171 39823 43039 62579 104027 120197 278761 301273 438053 473429 1097977 1268647 2108911 3066371 3314003 7685839 8880529 12077747 13955117 23198021 53800873 62163703 84544229 97685819 244848871 591809603 683800733 1713942097 2693337581 11997594679 18853363067 131973541469