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91287371045 = 51341173389509
BaseRepresentation
bin101010100000100100…
…1101011110100100101
322201121222021221012102
41111001021223310211
52443424031333140
6105534205101445
76411120564623
oct1250111536445
9281558257172
1091287371045
1135795383002
1215837b57885
1387ba757bb0
1445bdc92513
1525943c4e15
hex154126bd25

91287371045 has 64 divisors (see below), whose sum is σ = 122099140800. Its totient is φ = 65091624960.

The previous prime is 91287371029. The next prime is 91287371047. The reversal of 91287371045 is 54017378219.

It is a Cunningham number, because it is equal to 3021382+1.

It can be written as a sum of positive squares in 32 ways, for example, as 69737718241 + 21549652804 = 264079^2 + 146798^2 .

It is not a de Polignac number, because 91287371045 - 24 = 91287371029 is a prime.

It is a super-2 number, since 2×912873710452 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91287371047) 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 63 ways as a sum of consecutive naturals, for example, 179346251 + ... + 179346759.

It is an arithmetic number, because the mean of its divisors is an integer number (1907799075).

Almost surely, 291287371045 is an apocalyptic number.

It is an amenable number.

91287371045 is a deficient number, since it is larger than the sum of its proper divisors (30811769755).

91287371045 is a wasteful number, since it uses less digits than its factorization.

91287371045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130.

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 91287371045 in words is "ninety-one billion, two hundred eighty-seven million, three hundred seventy-one thousand, forty-five".

Divisors: 1 5 13 41 65 173 205 389 509 533 865 1945 2249 2545 2665 5057 6617 7093 11245 15949 20869 25285 33085 35465 67297 79745 88057 92209 104345 198001 207337 271297 336485 440285 461045 874861 990005 1036685 1144741 1356485 2574013 2759177 3610337 4374305 5723705 8118041 12870065 13795885 18051685 34254173 35869301 40590205 46934381 105534533 171270865 179346505 234671905 445304249 527672665 1404421093 2226521245 7022105465 18257474209 91287371045