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54189345462 = 23731972771549
BaseRepresentation
bin110010011101111011…
…111100101010110110
312011212112210222012220
4302131323330222312
51341434433023322
640521053423210
73625601556630
oct623573745266
9164775728186
1054189345462
1120a8852232a
12a603a9ab06
135157987c75
1428a0c91a50
15162256c55c
hexc9defcab6

54189345462 has 128 divisors (see below), whose sum is σ = 129725030400. Its totient is φ = 14765690880.

The previous prime is 54189345461. The next prime is 54189345479. The reversal of 54189345462 is 26454398145.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54189345461) 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 63 ways as a sum of consecutive naturals, for example, 34982664 + ... + 34984212.

It is an arithmetic number, because the mean of its divisors is an integer number (1013476800).

Almost surely, 254189345462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54189345462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64862515200).

54189345462 is an abundant number, since it is smaller than the sum of its proper divisors (75535684938).

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

54189345462 is a wasteful number, since it uses less digits than its factorization.

54189345462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966.

The product of its digits is 4147200, while the sum is 51.

The spelling of 54189345462 in words is "fifty-four billion, one hundred eighty-nine million, three hundred forty-five thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 97 186 194 217 277 291 434 554 582 651 679 831 1302 1358 1549 1662 1939 2037 3007 3098 3878 4074 4647 5817 6014 8587 9021 9294 10843 11634 17174 18042 21049 21686 25761 26869 32529 42098 48019 51522 53738 60109 63147 65058 80607 96038 120218 126294 144057 150253 161214 180327 188083 288114 300506 336133 360654 376166 429073 450759 564249 672266 832939 858146 901518 1008399 1051771 1128498 1287219 1665878 2016798 2103542 2498817 2574438 3003511 3155313 4657843 4997634 5830573 6007022 6310626 9010533 9315686 11661146 13301263 13973529 17491719 18021066 26602526 27947058 32604901 34983438 39903789 41620081 65209802 79807578 83240162 93108841 97814703 124860243 186217682 195629406 249720486 279326523 291340567 558653046 582681134 874021701 1290222511 1748043402 2580445022 3870667533 7741335066 9031557577 18063115154 27094672731 54189345462