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664692480 = 283552137
BaseRepresentation
bin100111100111100…
…110011100000000
31201022201212200000
4213213212130000
52330130124410
6145542400000
722320535644
oct4747463400
91638655600
10664692480
11311224331
12166730000
13a792967a
14643c6c24
153d54adc0
hex279e6700

664692480 has 216 divisors, whose sum is σ = 2386059312. Its totient is φ = 177168384.

The previous prime is 664692467. The next prime is 664692481. The reversal of 664692480 is 84296466.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664692481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309972 + ... + 312108.

Almost surely, 2664692480 is an apocalyptic number.

664692480 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 664692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193029656).

664692480 is an abundant number, since it is smaller than the sum of its proper divisors (1721366832).

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

664692480 is an equidigital number, since it uses as much as digits as its factorization.

664692480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 664692480 is about 25781.6306699169. The cubic root of 664692480 is about 872.7173067044.

The spelling of 664692480 in words is "six hundred sixty-four million, six hundred ninety-two thousand, four hundred eighty".