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540251013222 = 2331712716328429
BaseRepresentation
bin1111101110010010111…
…10000100000001100110
31220122111000121001011000
413313021132010001212
532322413224410342
61052104330054130
754013631562204
oct7671136040146
91818430531130
10540251013222
11199134681488
1288854b7a346
133bc3a208c6b
141c210c92074
15e0be69e44c
hex7dc9784066

540251013222 has 128 divisors (see below), whose sum is σ = 1289093529600. Its totient is φ = 167118432768.

The previous prime is 540251013191. The next prime is 540251013227. The reversal of 540251013222 is 222310152045.

540251013222 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540251013227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18989304 + ... + 19017732.

It is an arithmetic number, because the mean of its divisors is an integer number (10071043200).

Almost surely, 2540251013222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540251013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644546764800).

540251013222 is an abundant number, since it is smaller than the sum of its proper divisors (748842516378).

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

540251013222 is a wasteful number, since it uses less digits than its factorization.

540251013222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28747 (or 28741 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 540251013222 its reverse (222310152045), we get a palindrome (762561165267).

The spelling of 540251013222 in words is "five hundred forty billion, two hundred fifty-one million, thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 127 153 163 254 306 326 381 459 489 762 918 978 1143 1467 2159 2286 2771 2934 3429 4318 4401 5542 6477 6858 8313 8802 12954 16626 19431 20701 24939 28429 38862 41402 49878 56858 58293 62103 74817 85287 116586 124206 149634 170574 186309 255861 351917 372618 483293 511722 558927 703834 767583 966586 1055751 1117854 1449879 1535166 2111502 2899758 3167253 3610483 4349637 4633927 6334506 7220966 8699274 9267854 9501759 10831449 13048911 13901781 19003518 21662898 26097822 27803562 32494347 41705343 61378211 64988694 78776759 83410686 97483041 122756422 125116029 157553518 184134633 194966082 236330277 250232058 368269266 472660554 552403899 588508729 708990831 1104807798 1177017458 1417981662 1657211697 1765526187 2126972493 3314423394 3531052374 4253944986 5296578561 10004648393 10593157122 15889735683 20009296786 30013945179 31779471366 60027890358 90041835537 180083671074 270125506611 540251013222