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218607126138 = 23217242023669
BaseRepresentation
bin1100101110011000000…
…0000000011001111010
3202220021002212122000100
43023212000000121322
512040201411014023
6244232101220230
721536200625112
oct3134600003172
9686232778010
10218607126138
11847900294a5
123644b101676
13177cb271a9b
14a81b3cc042
155a46ca6c43
hex32e600067a

218607126138 has 36 divisors (see below), whose sum is σ = 503149400910. Its totient is φ = 68582626176.

The previous prime is 218607126113. The next prime is 218607126139. The reversal of 218607126138 is 831621706812.

218607126138 is a `hidden beast` number, since 2 + 1 + 8 + 607 + 1 + 2 + 6 + 1 + 38 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 212914876329 + 5692249809 = 461427^2 + 75447^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 218607126093 and 218607126102.

It is not an unprimeable number, because it can be changed into a prime (218607126139) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21006633 + ... + 21017036.

Almost surely, 2218607126138 is an apocalyptic number.

218607126138 is an abundant number, since it is smaller than the sum of its proper divisors (284542274772).

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

218607126138 is a wasteful number, since it uses less digits than its factorization.

218607126138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42023711 (or 42023691 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 218607126138 in words is "two hundred eighteen billion, six hundred seven million, one hundred twenty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 42023669 84047338 126071007 252142014 378213021 714402373 756426042 1428804746 2143207119 4286414238 6429621357 12144840341 12859242714 24289680682 36434521023 72869042046 109303563069 218607126138