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212894010000 = 24325471811867
BaseRepresentation
bin1100011001000101111…
…0001100101010010000
3202100111221122021000100
43012101132030222100
511442001331310000
6241445133252400
721244466140620
oct3062136145220
9670457567010
10212894010000
1182319133811
1235315934100
13170ca760aa9
14a43873a880
15581043ba00
hex319178ca90

212894010000 has 600 divisors, whose sum is σ = 856040529344. Its totient is φ = 48366720000.

The previous prime is 212894009987. The next prime is 212894010101. The reversal of 212894010000 is 10498212.

It is a tau number, because it is divible by the number of its divisors (600).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114029067 + ... + 114030933.

Almost surely, 2212894010000 is an apocalyptic number.

212894010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212894010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428020264672).

212894010000 is an abundant number, since it is smaller than the sum of its proper divisors (643146519344).

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

212894010000 is a wasteful number, since it uses less digits than its factorization.

212894010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 212894010000 in words is "two hundred twelve billion, eight hundred ninety-four million, ten thousand".