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664151040 = 21032572971
BaseRepresentation
bin100111100101100…
…010010000000000
31201021201100221200
4213211202100000
52330010313130
6145523021200
722313122260
oct4745422000
91637640850
10664151040
11310994563
1216650a800
13a779a0a7
14642c57a0
153d490760
hex27962400

664151040 has 528 divisors, whose sum is σ = 2759028480. Its totient is φ = 144506880.

The previous prime is 664151029. The next prime is 664151051. The reversal of 664151040 is 40151466.

664151040 is a `hidden beast` number, since 6 + 641 + 5 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (664151029) and next prime (664151051).

It is a junction number, because it is equal to n+sod(n) for n = 664150995 and 664151013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9354205 + ... + 9354275.

Almost surely, 2664151040 is an apocalyptic number.

664151040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379514240).

664151040 is an abundant number, since it is smaller than the sum of its proper divisors (2094877440).

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

664151040 is a wasteful number, since it uses less digits than its factorization.

664151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 664151040 is about 25771.1280311903. The cubic root of 664151040 is about 872.4802785886.

The spelling of 664151040 in words is "six hundred sixty-four million, one hundred fifty-one thousand, forty".