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54073246230 = 232517132726633
BaseRepresentation
bin110010010111000001…
…000100001000010110
312011120110100112000100
4302113001010020112
51341220222334410
640501345154530
73622662003123
oct622701041026
9164513315010
1054073246230
1120a28a35253
12a59102ba46
1351398c86b3
14288d6ad74a
1516172878c0
hexc97044216

54073246230 has 96 divisors (see below), whose sum is σ = 148978237824. Its totient is φ = 13560588288.

The previous prime is 54073246211. The next prime is 54073246231. The reversal of 54073246230 is 3264237045.

54073246230 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 3 + 24 + 623 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54073246231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2016994 + ... + 2043626.

It is an arithmetic number, because the mean of its divisors is an integer number (1551856644).

Almost surely, 254073246230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54073246230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74489118912).

54073246230 is an abundant number, since it is smaller than the sum of its proper divisors (94904991594).

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

54073246230 is a wasteful number, since it uses less digits than its factorization.

54073246230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27990 (or 27987 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 54073246230 in words is "fifty-four billion, seventy-three million, two hundred forty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1327 1530 2654 3981 6635 7962 11943 13270 19905 22559 23886 26633 39810 45118 53266 59715 67677 79899 112795 119430 133165 135354 159798 203031 225590 239697 266330 338385 399495 406062 452761 479394 676770 798990 905522 1015155 1198485 1358283 2030310 2263805 2396970 2716566 4074849 4527610 6791415 8149698 13582830 20374245 35341991 40748490 70683982 106025973 176709955 212051946 318077919 353419910 530129865 600813847 636155838 1060259730 1201627694 1590389595 1802441541 3004069235 3180779190 3604883082 5407324623 6008138470 9012207705 10814649246 18024415410 27036623115 54073246230