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54919408188 = 22323367542189
BaseRepresentation
bin110011001001011100…
…111010101000111100
312020202102120000000010
4303021130322220330
51344433332030223
641121333303220
73652645160451
oct631134725074
9166672500003
1054919408188
1121322635257
12a788494b10
135242cc1a48
14292dc13828
1516666cc393
hexcc973aa3c

54919408188 has 48 divisors (see below), whose sum is σ = 134081418240. Its totient is φ = 17462791104.

The previous prime is 54919408183. The next prime is 54919408289. The reversal of 54919408188 is 88180491945.

It is a super-2 number, since 2×549194081882 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54919408183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169803 + ... + 372386.

It is an arithmetic number, because the mean of its divisors is an integer number (2793362880).

Almost surely, 254919408188 is an apocalyptic number.

It is an amenable number.

54919408188 is an abundant number, since it is smaller than the sum of its proper divisors (79162010052).

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

54919408188 is a wasteful number, since it uses less digits than its factorization.

54919408188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542586 (or 542584 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 54919408188 in words is "fifty-four billion, nine hundred nineteen million, four hundred eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 367 734 1101 1468 2202 4404 8441 16882 25323 33764 50646 101292 542189 1084378 1626567 2168756 3253134 6506268 12470347 24940694 37411041 49881388 74822082 149644164 198983363 397966726 596950089 795933452 1193900178 2387800356 4576617349 9153234698 13729852047 18306469396 27459704094 54919408188