Search a number
-
+
1664026164 = 2232172414783
BaseRepresentation
bin110001100101111…
…0000011000110100
311021222011021202200
41203023300120310
511401442314124
6433041504500
756143663143
oct14313603064
94258137680
101664026164
11784332539
123a5342130
13206992488
1411addd75a
159b149bc9
hex632f0634

1664026164 has 216 divisors, whose sum is σ = 4730963328. Its totient is φ = 492472320.

The previous prime is 1664026163. The next prime is 1664026183. The reversal of 1664026164 is 4616204661.

1664026164 is a `hidden beast` number, since 1 + 6 + 640 + 2 + 6 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664026163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20048467 + ... + 20048549.

It is an arithmetic number, because the mean of its divisors is an integer number (21902608).

Almost surely, 21664026164 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 1664026164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365481664).

1664026164 is an abundant number, since it is smaller than the sum of its proper divisors (3066937164).

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

1664026164 is a wasteful number, since it uses less digits than its factorization.

1664026164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1664026164 is about 40792.4768063916. The cubic root of 1664026164 is about 1185.0046381274.

The spelling of 1664026164 in words is "one billion, six hundred sixty-four million, twenty-six thousand, one hundred sixty-four".