Search a number
-
+
665493696 = 263272171973
BaseRepresentation
bin100111101010101…
…010000011000000
31201101020120201200
4213222222003000
52330331244241
6150011501200
722330413600
oct4752520300
91641216650
10665493696
1131172129a
12166a57800
13a7b4a26a
1464554c00
153d6584b6
hex27aaa0c0

665493696 has 504 divisors, whose sum is σ = 2507010480. Its totient is φ = 167215104.

The previous prime is 665493691. The next prime is 665493701. The reversal of 665493696 is 696394566.

It is a happy number.

665493696 is a `hidden beast` number, since 6 + 6 + 549 + 3 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (665493691) and next prime (665493701).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (665493691) 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, 9116316 + ... + 9116388.

Almost surely, 2665493696 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 665493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253505240).

665493696 is an abundant number, since it is smaller than the sum of its proper divisors (1841516784).

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

665493696 is a wasteful number, since it uses less digits than its factorization.

665493696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The square root of 665493696 is about 25797.1644953472. The cubic root of 665493696 is about 873.0678218310.

The spelling of 665493696 in words is "six hundred sixty-five million, four hundred ninety-three thousand, six hundred ninety-six".