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666289152 = 2103429277
BaseRepresentation
bin100111101101101…
…100010000000000
31201102201222220000
4213231230100000
52331032223102
6150040520000
722340235654
oct4755542000
91642658800
10666289152
113121149a1
12167180000
13a8068349
14646c0a64
153d76401c
hex27b6c400

666289152 has 220 divisors, whose sum is σ = 2065709580. Its totient is φ = 213663744.

The previous prime is 666289147. The next prime is 666289157. The reversal of 666289152 is 251982666.

It is an interprime number because it is at equal distance from previous prime (666289147) and next prime (666289157).

It can be written as a sum of positive squares in 2 ways, for example, as 224280576 + 442008576 = 14976^2 + 21024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 666289098 and 666289107.

It is not an unprimeable number, because it can be changed into a prime (666289157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2405238 + ... + 2405514.

It is an arithmetic number, because the mean of its divisors is an integer number (9389589).

Almost surely, 2666289152 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 666289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032854790).

666289152 is an abundant number, since it is smaller than the sum of its proper divisors (1399420428).

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

666289152 is a wasteful number, since it uses less digits than its factorization.

666289152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 311 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 666289152 is about 25812.5773993997. The cubic root of 666289152 is about 873.4155388824.

The spelling of 666289152 in words is "six hundred sixty-six million, two hundred eighty-nine thousand, one hundred fifty-two".