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54273098916 = 22323660741183
BaseRepresentation
bin110010100010111011…
…011100010010100100
312012002101102002100200
4302202323130102210
51342122403131131
640533244510500
73630636505041
oct624273342244
9165071362320
1054273098916
1121020827563
12a627b4b430
13516c13091a
1428ac0541c8
151629ab32e6
hexca2edc4a4

54273098916 has 36 divisors (see below), whose sum is σ = 137197412352. Its totient is φ = 18090099504.

The previous prime is 54273098899. The next prime is 54273098923. The reversal of 54273098916 is 61989037245.

54273098916 is a `hidden beast` number, since 542 + 7 + 3 + 0 + 9 + 8 + 91 + 6 = 666.

54273098916 is a nontrivial binomial coefficient, being equal to C(329464, 2).

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1297261 + ... + 1338443.

It is an arithmetic number, because the mean of its divisors is an integer number (3811039232).

It is a 2-persistent number, because it is pandigital, and so is 2⋅54273098916 = 108546197832, but 3⋅54273098916 = 162819296748 is not.

Almost surely, 254273098916 is an apocalyptic number.

54273098916 is the 329463-rd triangular number and also the 164732-nd hexagonal number.

It is an amenable number.

54273098916 is an abundant number, since it is smaller than the sum of its proper divisors (82924313436).

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

54273098916 is a wasteful number, since it uses less digits than its factorization.

54273098916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77800 (or 77795 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 54273098916 in words is "fifty-four billion, two hundred seventy-three million, ninety-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 36607 41183 73214 82366 109821 123549 146428 164732 219642 247098 329463 370647 439284 494196 658926 741294 1317852 1482588 1507586081 3015172162 4522758243 6030344324 9045516486 13568274729 18091032972 27136549458 54273098916