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54933216138 = 23219167961817
BaseRepresentation
bin110011001010010001…
…100101101110001010
312020210101112111221200
4303022101211232022
51400000400404023
641122545245030
73653203430043
oct631221455612
9166711474850
1054933216138
112132a406389
12a791033776
135245b17928
1429319a98ca
151667a08743
hexcca465b8a

54933216138 has 48 divisors (see below), whose sum is σ = 126036630720. Its totient is φ = 17243437248.

The previous prime is 54933216137. The next prime is 54933216167. The reversal of 54933216138 is 83161233945.

54933216138 is a `hidden beast` number, since 5 + 4 + 9 + 3 + 3 + 21 + 613 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54933216093 and 54933216102.

It is not an unprimeable number, because it can be changed into a prime (54933216131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 423795 + ... + 538022.

It is an arithmetic number, because the mean of its divisors is an integer number (2625763140).

Almost surely, 254933216138 is an apocalyptic number.

54933216138 is an abundant number, since it is smaller than the sum of its proper divisors (71103414582).

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

54933216138 is a wasteful number, since it uses less digits than its factorization.

54933216138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962011 (or 962008 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 54933216138 in words is "fifty-four billion, nine hundred thirty-three million, two hundred sixteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 334 342 501 1002 1503 3006 3173 6346 9519 19038 28557 57114 961817 1923634 2885451 5770902 8656353 17312706 18274523 36549046 54823569 109647138 160623439 164470707 321246878 328941414 481870317 963740634 1445610951 2891221902 3051845341 6103690682 9155536023 18311072046 27466608069 54933216138