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218416068327232 = 2629509231200533
BaseRepresentation
bin110001101010010111110100…
…001010100111011101000000
31001122100101001100012200101201
4301222113310022213131000
5212112012101442432412
62052310542342510544
764002016533301426
oct6152276412473500
91048311040180351
10218416068327232
1163659809525a86
12205b65b7435454
1394b4715607109
143bd1573631116
151a3b783331e57
hexc6a5f42a7740

218416068327232 has 56 divisors (see below), whose sum is σ = 449245757615400. Its totient is φ = 105235083749376.

The previous prime is 218416068327209. The next prime is 218416068327307. The reversal of 218416068327232 is 232723860614812.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24479695708416 + 193936372618816 = 4947696^2 + 13926104^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114655563 + ... + 116544970.

Almost surely, 2218416068327232 is an apocalyptic number.

It is an amenable number.

218416068327232 is an abundant number, since it is smaller than the sum of its proper divisors (230829689288168).

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

218416068327232 is a wasteful number, since it uses less digits than its factorization.

218416068327232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231201083 (or 231201073 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 218416068327232 in words is "two hundred eighteen trillion, four hundred sixteen billion, sixty-eight million, three hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 509 928 1018 1856 2036 4072 8144 14761 16288 29522 32576 59044 118088 236176 472352 944704 231200533 462401066 924802132 1849604264 3699208528 6704815457 7398417056 13409630914 14796834112 26819261828 53638523656 107277047312 117681071297 214554094624 235362142594 429108189248 470724285188 941448570376 1882897140752 3412751067613 3765794281504 6825502135226 7531588563008 13651004270452 27302008540904 54604017081808 109208034163616 218416068327232