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220818994494336 = 27367985734297
BaseRepresentation
bin110010001101010101101101…
…101110011111101110000000
31001221212002102101201121000000
4302031111231232133232000
5212420344300042304321
62101350502354000000
764340434351564110
oct6215255556375600
91057762371647000
10220818994494336
11643a589a71a887
122092424a576000
13962a1ac7aca34
143c759a6b4b040
151a7e01ea65826
hexc8d56db9fb80

220818994494336 has 448 divisors, whose sum is σ = 753889924608480. Its totient is φ = 63082901274624.

The previous prime is 220818994494299. The next prime is 220818994494347. The reversal of 220818994494336 is 633494499818022.

220818994494336 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 18 + 9 + 94 + 494 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2208189944943362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6438417540 + ... + 6438451836.

Almost surely, 2220818994494336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220818994494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376944962304240).

220818994494336 is an abundant number, since it is smaller than the sum of its proper divisors (533070930114144).

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

220818994494336 is an frugal number, since it uses more digits than its factorization.

220818994494336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44193 (or 44166 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 220818994494336 in words is "two hundred twenty trillion, eight hundred eighteen billion, nine hundred ninety-four million, four hundred ninety-four thousand, three hundred thirty-six".