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45227311372254 = 23111997371818933
BaseRepresentation
bin10100100100010010011011…
…10101000001011111011110
312221010200121002111021200210
422102021031311001133132
521412001013202403004
6240105050124233250
712345364636431654
oct1222111565013736
9187120532437623
1045227311372254
1113457882217a60
1250a543309b826
131c30bc000b89b
14b25029278dd4
155366ed451089
hex29224dd417de

45227311372254 has 64 divisors (see below), whose sum is σ = 104942175932160. Its totient is φ = 12850062289920.

The previous prime is 45227311372237. The next prime is 45227311372259.

45227311372254 is nontrivially palindromic in base 10.

45227311372254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×452273113722542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45227311372259) 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 31 ways as a sum of consecutive naturals, for example, 185787829 + ... + 186031104.

It is an arithmetic number, because the mean of its divisors is an integer number (1639721498940).

Almost surely, 245227311372254 is an apocalyptic number.

45227311372254 is an abundant number, since it is smaller than the sum of its proper divisors (59714864559906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45227311372254 is a wasteful number, since it uses less digits than its factorization.

45227311372254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371819065.

The product of its digits is 2822400, while the sum is 48.

It can be divided in two parts, 4522731 and 1372254, that added together give a palindrome (5894985).

The spelling of 45227311372254 in words is "forty-five trillion, two hundred twenty-seven billion, three hundred eleven million, three hundred seventy-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 97 114 194 209 291 418 582 627 1067 1254 1843 2134 3201 3686 5529 6402 11058 20273 40546 60819 121638 371818933 743637866 1115456799 2230913598 4090008263 7064559727 8180016526 12270024789 14129119454 21193679181 24540049578 36066436501 42387358362 72132873002 77710156997 108199309503 155420313994 216398619006 233130470991 396730801511 466260941982 685262293519 793461603022 1190192404533 1370524587038 2055786880557 2380384809066 4111573761114 7537885228709 15075770457418 22613655686127 45227311372254