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540022220045 = 57116720935151
BaseRepresentation
bin1111101101110111101…
…01010010010100001101
31220121220002002010220122
413312323311102110031
532321431142020140
61052025514154325
754005153063540
oct7667365222415
91817802063818
10540022220045
11199027512810
12887b04229a5
133bc019b0099
141c1cc736857
15e0a9558ab5
hex7dbbd5250d

540022220045 has 32 divisors (see below), whose sum is σ = 819988033536. Its totient is φ = 331612776000.

The previous prime is 540022220041. The next prime is 540022220113.

540022220045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540022220045 - 22 = 540022220041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540022219996 and 540022220023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540022220041) 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, 10441781 + ... + 10493370.

It is an arithmetic number, because the mean of its divisors is an integer number (25624626048).

Almost surely, 2540022220045 is an apocalyptic number.

540022220045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540022220045 is a deficient number, since it is larger than the sum of its proper divisors (279965813491).

540022220045 is a wasteful number, since it uses less digits than its factorization.

540022220045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20935241.

The product of its (nonzero) digits is 6400, while the sum is 26.

It can be divided in two parts, 540022 and 220045, that added together give a palindrome (760067).

The spelling of 540022220045 in words is "five hundred forty billion, twenty-two million, two hundred twenty thousand, forty-five".

Divisors: 1 5 7 11 35 55 67 77 335 385 469 737 2345 3685 5159 25795 20935151 104675755 146546057 230286661 732730285 1151433305 1402655117 1612006627 7013275585 8060033135 9818585819 15429206287 49092929095 77146031435 108004444009 540022220045