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218051138768 = 2419609694997
BaseRepresentation
bin1100101100010011011…
…1000101010011010000
3202211211100200112201112
43023010313011103100
512033032042420033
6244101000352452
721516340045511
oct3130467052320
9684740615645
10218051138768
1184525201a01
1236314a75728
1317740016288
14a7a7620a08
155a1307ec48
hex32c4dc54d0

218051138768 has 20 divisors (see below), whose sum is σ = 422496234180. Its totient is φ = 109019852544.

The previous prime is 218051138761. The next prime is 218051138771. The reversal of 218051138768 is 867831150812.

It can be written as a sum of positive squares in 2 ways, for example, as 180635200144 + 37415938624 = 425012^2 + 193432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218051138761) 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 3 ways as a sum of consecutive naturals, for example, 33755 + ... + 661242.

It is an arithmetic number, because the mean of its divisors is an integer number (21124811709).

Almost surely, 2218051138768 is an apocalyptic number.

It is an amenable number.

218051138768 is a deficient number, since it is larger than the sum of its proper divisors (204445095412).

218051138768 is a wasteful number, since it uses less digits than its factorization.

218051138768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714614 (or 714608 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 50.

The spelling of 218051138768 in words is "two hundred eighteen billion, fifty-one million, one hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19609 39218 78436 156872 313744 694997 1389994 2779988 5559976 11119952 13628196173 27256392346 54512784692 109025569384 218051138768