Search a number
-
+
91001818193 = 111321723125197
BaseRepresentation
bin101010011000000100…
…0011000110001010001
322200220001222100022212
41110300020120301101
52442332431140233
6105450004441505
76401052456206
oct1246010306121
9280801870285
1091001818193
1135659176a10
12157783a9295
138773547c00
144593d9dcad
1525792bba48
hex1530218c51

91001818193 has 48 divisors (see below), whose sum is σ = 118771837056. Its totient is φ = 68747627520.

The previous prime is 91001818183. The next prime is 91001818273. The reversal of 91001818193 is 39181810019.

It is not a de Polignac number, because 91001818193 - 216 = 91001752657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91001818193.

It is not an unprimeable number, because it can be changed into a prime (91001818183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664271 + ... + 789467.

It is an arithmetic number, because the mean of its divisors is an integer number (2474413272).

Almost surely, 291001818193 is an apocalyptic number.

It is an amenable number.

91001818193 is a deficient number, since it is larger than the sum of its proper divisors (27770018863).

91001818193 is a wasteful number, since it uses less digits than its factorization.

91001818193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125274 (or 125261 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 41.

The spelling of 91001818193 in words is "ninety-one billion, one million, eight hundred eighteen thousand, one hundred ninety-three".

Divisors: 1 11 13 17 23 143 169 187 221 253 299 391 1859 2431 2873 3289 3887 4301 5083 31603 42757 55913 66079 125197 726869 1377167 1627561 2128349 2879531 17903171 21158293 23411839 27668537 31674841 37433903 48952027 232741223 304353907 359690981 411772933 486640739 538472297 636376351 3956600791 5353048129 7000139861 8272892563 91001818193