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5814450054 = 238729043
BaseRepresentation
bin1010110101001000…
…10111011110000110
3120000012220200000000
411122210113132012
543401444400204
62400543502130
7264042003300
oct53244273606
916005820000
105814450054
112514118426
1211632b7946
137188009ba
143d230c970
152406d5039
hex15a917786

5814450054 has 108 divisors (see below), whose sum is σ = 15219342684. Its totient is φ = 1661087736.

The previous prime is 5814450049. The next prime is 5814450101. The reversal of 5814450054 is 4500544185.

It is a happy number.

5814450054 is a `hidden beast` number, since 5 + 8 + 144 + 500 + 5 + 4 = 666.

It is a Curzon number.

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 638457 + ... + 647499.

Almost surely, 25814450054 is an apocalyptic number.

5814450054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5814450054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7609671342).

5814450054 is an abundant number, since it is smaller than the sum of its proper divisors (9404892630).

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

5814450054 is an frugal number, since it uses more digits than its factorization.

5814450054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 5814450054 is about 76252.5412953562. The cubic root of 5814450054 is about 1798.1926358490.

The spelling of 5814450054 in words is "five billion, eight hundred fourteen million, four hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 2187 2646 3402 3969 4374 5103 6561 7938 9043 10206 11907 13122 15309 18086 23814 27129 30618 35721 45927 54258 63301 71442 81387 91854 107163 126602 162774 189903 214326 244161 321489 379806 443107 488322 569709 642978 732483 886214 1139418 1329321 1464966 1709127 2197449 2658642 3418254 3987963 4394898 5127381 6592347 7975926 10254762 11963889 13184694 15382143 19777041 23927778 30764286 35891667 39554082 46146429 59331123 71783334 92292858 107675001 118662246 138439287 215350002 276878574 323025003 415317861 646050006 830635722 969075009 1938150018 2907225027 5814450054