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45234228124461 = 3292234366153401
BaseRepresentation
bin10100100100011111010100…
…00110010101101100101101
312221011100110010120200222110
422102033222012111230231
521412104144344440321
6240112152330234233
712346031225030205
oct1222175206255455
9187140403520873
1045234228124461
111345a8015822a2
1250a6843585979
131c31752cb807c
14b254c3b25405
155369a57c4176
hex2923ea195b2d

45234228124461 has 32 divisors (see below), whose sum is σ = 62674432773120. Its totient is φ = 28984511808000.

The previous prime is 45234228124439. The next prime is 45234228124529. The reversal of 45234228124461 is 16442182243254.

45234228124461 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 45234228124461 - 29 = 45234228123949 is a prime.

It is a super-3 number, since 3×452342281244613 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 45234228124461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45234228124961) 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, 847040361 + ... + 847093761.

It is an arithmetic number, because the mean of its divisors is an integer number (1958576024160).

Almost surely, 245234228124461 is an apocalyptic number.

It is an amenable number.

45234228124461 is a deficient number, since it is larger than the sum of its proper divisors (17440204648659).

45234228124461 is a wasteful number, since it uses less digits than its factorization.

45234228124461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97317.

The product of its digits is 2949120, while the sum is 48.

The spelling of 45234228124461 in words is "forty-five trillion, two hundred thirty-four billion, two hundred twenty-eight million, one hundred twenty-four thousand, four hundred sixty-one".

Divisors: 1 3 29 87 223 669 6467 19401 43661 53401 130983 160203 1266169 1548629 3798507 4645887 9736403 11908423 29209209 35725269 282355687 345344267 847067061 1036032801 2331541061 6994623183 67614690769 202844072307 519933656603 1559800969809 15078076041487 45234228124461