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328249376640 = 273552110657
BaseRepresentation
bin1001100011011010010…
…11111111111110000000
31011101021021010001100000
410301231023333332000
520334223320023030
6410443511200000
732500216444113
oct4615513777600
91141237101300
10328249376640
11117234241069
125374a076000
1324c526013a3
1411c5cc8857a
158812784860
hex4c6d2fff80

328249376640 has 192 divisors, whose sum is σ = 1175467653360. Its totient is φ = 87533125632.

The previous prime is 328249376591. The next prime is 328249376641. The reversal of 328249376640 is 46673942823.

328249376640 is a `hidden beast` number, since 3 + 2 + 82 + 493 + 76 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328249376641) 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, 899809 + ... + 1210848.

Almost surely, 2328249376640 is an apocalyptic number.

328249376640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328249376640 is an abundant number, since it is smaller than the sum of its proper divisors (847218276720).

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

328249376640 is an equidigital number, since it uses as much as digits as its factorization.

328249376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110691 (or 2110667 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 328249376640 in words is "three hundred twenty-eight billion, two hundred forty-nine million, three hundred seventy-six thousand, six hundred forty".