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216796648068 = 223671113172257
BaseRepresentation
bin1100100111101000010…
…1100101001010000100
3202201120221010211000000
43021322011211022010
512022444420214233
6243332304321300
721443265050310
oct3117205451204
9681527124000
10216796648068
1183a41068530
1236024913230
13175a01536a0
14a6c8b88b40
15598cd7dd13
hex327a165284

216796648068 has 1008 divisors, whose sum is σ = 814470862464. Its totient is φ = 48731258880.

The previous prime is 216796648063. The next prime is 216796648093. The reversal of 216796648068 is 860846697612.

216796648068 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 96 + 6 + 480 + 68 = 666.

It is a super-2 number, since 2×2167966480682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 216796647996 and 216796648014.

It is not an unprimeable number, because it can be changed into a prime (216796648063) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 843566596 + ... + 843566852.

It is an arithmetic number, because the mean of its divisors is an integer number (808006808).

Almost surely, 2216796648068 is an apocalyptic number.

216796648068 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 216796648068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407235431232).

216796648068 is an abundant number, since it is smaller than the sum of its proper divisors (597674214396).

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

216796648068 is a wasteful number, since it uses less digits than its factorization.

216796648068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 216796648068 in words is "two hundred sixteen billion, seven hundred ninety-six million, six hundred forty-eight thousand, sixty-eight".