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54213042366 = 23372941120623
BaseRepresentation
bin110010011111010110…
…010110000010111110
312011221012101220021000
4302133112112002332
51342012014323431
640523301351130
73626310154050
oct623726260276
9164835356230
1054213042366
1120a9a93814a
12a60ba084a6
13515c863cc2
1428a409d8d0
15162469d9e6
hexc9f5960be

54213042366 has 128 divisors (see below), whose sum is σ = 145906790400. Its totient is φ = 14590437120.

The previous prime is 54213042353. The next prime is 54213042409. The reversal of 54213042366 is 66324031245.

54213042366 is a `hidden beast` number, since 5 + 42 + 130 + 423 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54213042366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389131 + ... + 509753.

It is an arithmetic number, because the mean of its divisors is an integer number (1139896800).

Almost surely, 254213042366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54213042366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72953395200).

54213042366 is an abundant number, since it is smaller than the sum of its proper divisors (91693748034).

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

54213042366 is a wasteful number, since it uses less digits than its factorization.

54213042366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120711 (or 120705 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 54213042366 in words is "fifty-four billion, two hundred thirteen million, forty-two thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 41 42 54 58 63 82 87 123 126 174 189 203 246 261 287 369 378 406 522 574 609 738 783 861 1107 1189 1218 1566 1722 1827 2214 2378 2583 3567 3654 5166 5481 7134 7749 8323 10701 10962 15498 16646 21402 24969 32103 49938 64206 74907 120623 149814 224721 241246 361869 449442 723738 844361 1085607 1688722 2171214 2533083 3256821 3498067 4945543 5066166 6513642 6996134 7599249 9891086 10494201 14836629 15198498 20988402 22797747 24486469 29673258 31482603 34618801 44509887 45595494 48972938 62965206 69237602 73459407 89019774 94447809 103856403 133529661 143420747 146918814 188895618 207712806 220378221 267059322 286841494 311569209 430262241 440756442 623138418 661134663 860524482 934707627 1003945229 1290786723 1322269326 1869415254 2007890458 2581573446 3011835687 3872360169 6023671374 7744720338 9035507061 18071014122 27106521183 54213042366