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2054753327 = 112920113203
BaseRepresentation
bin111101001111001…
…0000110000101111
312022012101021200002
41322132100300233
513202004101302
6535520254515
7101630054324
oct17236206057
95265337602
102054753327
11964944650
1249417143b
13269908193
14156c6cb4b
15c05cac02
hex7a790c2f

2054753327 has 16 divisors (see below), whose sum is σ = 2320721280. Its totient is φ = 1802085600.

The previous prime is 2054753257. The next prime is 2054753329. The reversal of 2054753327 is 7233574502.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2054753327 - 218 = 2054491183 is a prime.

It is a super-3 number, since 3×20547533273 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054753329) 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 15 ways as a sum of consecutive naturals, for example, 639908 + ... + 643110.

It is an arithmetic number, because the mean of its divisors is an integer number (145045080).

Almost surely, 22054753327 is an apocalyptic number.

2054753327 is a deficient number, since it is larger than the sum of its proper divisors (265967953).

2054753327 is a wasteful number, since it uses less digits than its factorization.

2054753327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254.

The product of its (nonzero) digits is 176400, while the sum is 38.

The square root of 2054753327 is about 45329.3870132831. The cubic root of 2054753327 is about 1271.3151744538.

It can be divided in two parts, 205475 and 3327, that added together give a palindrome (208802).

The spelling of 2054753327 in words is "two billion, fifty-four million, seven hundred fifty-three thousand, three hundred twenty-seven".

Divisors: 1 11 29 319 2011 3203 22121 35233 58319 92887 641509 1021757 6441233 70853563 186795757 2054753327