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45330398208 = 2103219833119
BaseRepresentation
bin101010001101111001…
…101111110000000000
311100000011010211012100
4222031321233300000
51220314040220313
632454031430400
73163221012234
oct521571576000
9140004124170
1045330398208
1118251912117
128951085400
1343754c3244
1422a04b65c4
1512a4954173
hexa8de6fc00

45330398208 has 264 divisors, whose sum is σ = 139484217600. Its totient is φ = 14137860096.

The previous prime is 45330398177. The next prime is 45330398233. The reversal of 45330398208 is 80289303354.

45330398208 is a `hidden beast` number, since 4 + 53 + 3 + 0 + 398 + 208 = 666.

It is a super-2 number, since 2×453303982082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14532073 + ... + 14535191.

Almost surely, 245330398208 is an apocalyptic number.

45330398208 is a gapful number since it is divisible by the number (48) 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 45330398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69742108800).

45330398208 is an abundant number, since it is smaller than the sum of its proper divisors (94153819392).

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

45330398208 is a wasteful number, since it uses less digits than its factorization.

45330398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 45330398208 in words is "forty-five billion, three hundred thirty million, three hundred ninety-eight thousand, two hundred eight".