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45389380608 = 210321121331101
BaseRepresentation
bin101010010001011010…
…101111110000000000
311100011021010102211200
4222101122233300000
51220424140134413
632503535541200
73164535240465
oct522132576000
9140137112750
1045389380608
1118282138500
12896898a800
1343847a4c80
1422a826b66c
1512a9c05573
hexa916afc00

45389380608 has 792 divisors, whose sum is σ = 161730162048. Its totient is φ = 12165120000.

The previous prime is 45389380579. The next prime is 45389380637. The reversal of 45389380608 is 80608398354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45389380579) and next prime (45389380637).

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 449399758 + ... + 449399858.

Almost surely, 245389380608 is an apocalyptic number.

45389380608 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 45389380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80865081024).

45389380608 is an abundant number, since it is smaller than the sum of its proper divisors (116340781440).

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

45389380608 is a wasteful number, since it uses less digits than its factorization.

45389380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 45389380608 in words is "forty-five billion, three hundred eighty-nine million, three hundred eighty thousand, six hundred eight".