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497664000000 = 2173556
BaseRepresentation
bin1110011110111110001…
…01100000000000000000
31202120120001121121200000
413033133011200000000
531123203441000000
61020342414400000
750645402126616
oct7173705400000
91676501547600
10497664000000
11182070399092
128054a800000
1337c111ac95b
141a130ca36b6
15ce2aa00000
hex73df160000

497664000000 has 756 divisors, whose sum is σ = 1863649035612. Its totient is φ = 132710400000.

The previous prime is 497663999941. The next prime is 497664000007. The reversal of 497664000000 is 466794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

497664000000 is a `hidden beast` number, since 4 + 9 + 7 + 6 + 640 + 0 + 0 + 0 + 0 + 0 = 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 (497664000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 99532799998 + ... + 99532800002.

It is an arithmetic number, because the mean of its divisors is an integer number (2465144227).

Almost surely, 2497664000000 is an apocalyptic number.

497664000000 is a gapful number since it is divisible by the number (40) 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 497664000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931824517806).

497664000000 is an abundant number, since it is smaller than the sum of its proper divisors (1365985035612).

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

497664000000 is an frugal number, since it uses more digits than its factorization.

497664000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

497664000000 divided by its sum of digits (36) gives a cube (13824000000 = 24003).

Adding to 497664000000 its reverse (466794), we get a palindrome (497664466794).

The spelling of 497664000000 in words is "four hundred ninety-seven billion, six hundred sixty-four million", and thus it is an aban number.