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216332648268 = 2231123297134607
BaseRepresentation
bin1100100101111001101…
…1100011111101001100
3202200101121001011221020
43021132123203331030
512021022124221033
6243214251234140
721425632112232
oct3113633437514
9680347034836
10216332648268
118382315a620
1235b15448950
1317527c946a9
14a6832c4952
1559622776b3
hex325e6e3f4c

216332648268 has 192 divisors, whose sum is σ = 602810449920. Its totient is φ = 59688428800.

The previous prime is 216332648251. The next prime is 216332648269. The reversal of 216332648268 is 862846233612.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 216332648268.

It is not an unprimeable number, because it can be changed into a prime (216332648269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6233821 + ... + 6268427.

It is an arithmetic number, because the mean of its divisors is an integer number (3139637760).

Almost surely, 2216332648268 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 216332648268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301405224960).

216332648268 is an abundant number, since it is smaller than the sum of its proper divisors (386477801652).

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

216332648268 is a wasteful number, since it uses less digits than its factorization.

216332648268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34748 (or 34746 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 216332648268 in words is "two hundred sixteen billion, three hundred thirty-two million, six hundred forty-eight thousand, two hundred sixty-eight".