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216706468608 = 2833723717293
BaseRepresentation
bin1100100111010010110…
…1100100101100000000
3202201100122110020001000
43021310231210230000
512022303323443413
6243315323412000
721441121406400
oct3116455445400
9681318406030
10216706468608
11839a5174353
1235bba684000
131758756ab66
14a6babd2800
155984eb9073
hex3274b64b00

216706468608 has 432 divisors, whose sum is σ = 765657953760. Its totient is φ = 60239241216.

The previous prime is 216706468607. The next prime is 216706468681. The reversal of 216706468608 is 806864607612.

216706468608 is a `hidden beast` number, since 21 + 6 + 7 + 0 + 6 + 4 + 6 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216706468607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12522810 + ... + 12540102.

Almost surely, 2216706468608 is an apocalyptic number.

216706468608 is a gapful number since it is divisible by the number (28) 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 216706468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382828976880).

216706468608 is an abundant number, since it is smaller than the sum of its proper divisors (548951485152).

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

216706468608 is a wasteful number, since it uses less digits than its factorization.

216706468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17369 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 216706468608 in words is "two hundred sixteen billion, seven hundred six million, four hundred sixty-eight thousand, six hundred eight".