Search a number
-
+
216671470720056 = 2333112117118473833
BaseRepresentation
bin110001010000111111000010…
…000010111001010000111000
31001102011120221100000200022000
4301100333002002321100320
5211344421133001020211
62044453255521301000
763431666013306462
oct6120770202712070
91042146840020260
10216671470720056
1163046944676100
1220374471194760
1393b905545bc91
143b70d52c7d132
151a0b1c75ac656
hexc50fc20b9438

216671470720056 has 384 divisors, whose sum is σ = 662650573939200. Its totient is φ = 65549327500800.

The previous prime is 216671470720051. The next prime is 216671470720079. The reversal of 216671470720056 is 650027074176612.

216671470720056 is a `hidden beast` number, since 2 + 166 + 7 + 1 + 470 + 7 + 2 + 0 + 0 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 216671470719984 and 216671470720011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216671470720051) 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, 56527905916 + ... + 56527909748.

It is an arithmetic number, because the mean of its divisors is an integer number (1725652536300).

Almost surely, 2216671470720056 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 216671470720056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331325286969600).

216671470720056 is an abundant number, since it is smaller than the sum of its proper divisors (445979103219144).

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

216671470720056 is a wasteful number, since it uses less digits than its factorization.

216671470720056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 216671470720056 in words is "two hundred sixteen trillion, six hundred seventy-one billion, four hundred seventy million, seven hundred twenty thousand, fifty-six".