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216339498076068 = 2232176127128176099
BaseRepresentation
bin110001001100001001110110…
…111011110000011110100100
31001100222212001120221001100100
4301030021312323300132210
5211324001243001413233
62044040554323344100
763366004303350453
oct6114116673603644
91040885046831310
10216339498076068
1162a2907a783194
1220320064222030
13939395b67b623
143b5cc5d718b9a
151a02748017813
hexc4c276ef07a4

216339498076068 has 288 divisors, whose sum is σ = 592800083366400. Its totient is φ = 66274661376000.

The previous prime is 216339498076061. The next prime is 216339498076111. The reversal of 216339498076068 is 860670894933612.

216339498076068 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 3 + 9 + 4 + 9 + 8 + 0 + 7 + 606 + 8 = 666.

216339498076068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 216339498075987 and 216339498076005.

It is not an unprimeable number, because it can be changed into a prime (216339498076061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2842831083 + ... + 2842907181.

It is an arithmetic number, because the mean of its divisors is an integer number (2058333622800).

Almost surely, 2216339498076068 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 216339498076068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296400041683200).

216339498076068 is an abundant number, since it is smaller than the sum of its proper divisors (376460585290332).

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

216339498076068 is a wasteful number, since it uses less digits than its factorization.

216339498076068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76739 (or 76734 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 216339498076068 in words is "two hundred sixteen trillion, three hundred thirty-nine billion, four hundred ninety-eight million, seventy-six thousand, sixty-eight".