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212396316604992 = 263213318387109097
BaseRepresentation
bin110000010010110001011111…
…000000001011101001000000
31000212000220000111022200022100
4300102301133000023221000
5210314400124022324432
62031421304255510400
762511061504023222
oct6022613700135100
91025026014280270
10212396316604992
1161748854621343
121b9a39b4828400
139168b6b15b210
143a64072508412
151984db032207c
hexc12c5f00ba40

212396316604992 has 336 divisors, whose sum is σ = 676862257623552. Its totient is φ = 63236440350720.

The previous prime is 212396316604987. The next prime is 212396316605027. The reversal of 212396316604992 is 299406613693212.

212396316604992 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 9 + 6 + 3 + 16 + 604 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×2123963166049922 (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 47 ways as a sum of consecutive naturals, for example, 1946802988 + ... + 1946912084.

It is an arithmetic number, because the mean of its divisors is an integer number (2014471004832).

Almost surely, 2212396316604992 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 212396316604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338431128811776).

212396316604992 is an abundant number, since it is smaller than the sum of its proper divisors (464465941018560).

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

212396316604992 is a wasteful number, since it uses less digits than its factorization.

212396316604992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117546 (or 117533 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 212396316604992 in words is "two hundred twelve trillion, three hundred ninety-six billion, three hundred sixteen million, six hundred four thousand, nine hundred ninety-two".