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218716118214916 = 227210563612
BaseRepresentation
bin110001101110101111010000…
…100010000110100100000100
31001200102001112100000021011211
4301232233100202012210010
5212131421102230334131
62053100444141141204
764032501205253200
oct6156572042064404
91050361470007154
10218716118214916
1163764a918a6673
122064479555a804
139506ac2881c5a
143c01cb923bb00
151a444950975b1
hexc6ebd0886904

218716118214916 has 27 divisors (see below), whose sum is σ = 445243947854517. Its totient is φ = 93735390500640.

The previous prime is 218716118214887. The next prime is 218716118214961. The reversal of 218716118214916 is 619412811617812.

The square root of 218716118214916 is 14789054.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47529249069316 + 171186869145600 = 6894146^2 + 13083840^2 .

It is a super-2 number, since 2×2187161182149162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 206518576 + ... + 207574936.

Almost surely, 2218716118214916 is an apocalyptic number.

218716118214916 is the 14789054-th square number.

It is an amenable number.

218716118214916 is an abundant number, since it is smaller than the sum of its proper divisors (226527829639601).

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

218716118214916 is an frugal number, since it uses more digits than its factorization.

218716118214916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112740 (or 1056370 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 58.

The spelling of 218716118214916 in words is "two hundred eighteen trillion, seven hundred sixteen billion, one hundred eighteen million, two hundred fourteen thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 196 1056361 2112722 4225444 7394527 14789054 29578108 51761689 103523378 207046756 1115898562321 2231797124642 4463594249284 7811289936247 15622579872494 31245159744988 54679029553729 109358059107458 218716118214916