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216247492608 = 2133723314143
BaseRepresentation
bin1100100101100101011…
…0101110000000000000
3202200011122210211022220
43021121112232000000
512020333324230413
6243202010131040
721423546234060
oct3113126560000
9680148724286
10216247492608
118378a087944
1235ab0a20a80
131751344a724
14a675c793a0
155959a56223
hex32595ae000

216247492608 has 896 divisors, whose sum is σ = 744057667584. Its totient is φ = 54499737600.

The previous prime is 216247492553. The next prime is 216247492609. The reversal of 216247492608 is 806294742612.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216247492609) 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, 5029011435 + ... + 5029011477.

It is an arithmetic number, because the mean of its divisors is an integer number (830421504).

Almost surely, 2216247492608 is an apocalyptic number.

216247492608 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 216247492608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372028833792).

216247492608 is an abundant number, since it is smaller than the sum of its proper divisors (527810174976).

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

216247492608 is a wasteful number, since it uses less digits than its factorization.

216247492608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 216247492608 in words is "two hundred sixteen billion, two hundred forty-seven million, four hundred ninety-two thousand, six hundred eight".