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216041897030976 = 263313143113611627
BaseRepresentation
bin110001000111110100101100…
…100001110111010101000000
31001022221101220021001120002000
4301013310230201313111000
5211304112301114442401
62043252135524224000
763335340415246542
oct6107645441672500
91038841807046060
10216041897030976
1162923943745255
122029244a23b000
139371881860a83
143b4c6ab043692
1519e9b2b275186
hexc47d2c877540

216041897030976 has 448 divisors, whose sum is σ = 642322149765120. Its totient is φ = 71202253824000.

The previous prime is 216041897030963. The next prime is 216041897031031. The reversal of 216041897030976 is 679030798140612.

216041897030976 is a `hidden beast` number, since 2 + 1 + 60 + 418 + 9 + 70 + 3 + 0 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132785430675 + ... + 132785432301.

Almost surely, 2216041897030976 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 216041897030976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321161074882560).

216041897030976 is an abundant number, since it is smaller than the sum of its proper divisors (426280252734144).

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

216041897030976 is a wasteful number, since it uses less digits than its factorization.

216041897030976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 216041897030976 in words is "two hundred sixteen trillion, forty-one billion, eight hundred ninety-seven million, thirty thousand, nine hundred seventy-six".