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45546642336 = 253131091911753
BaseRepresentation
bin101010011010110010…
…101001101110100000
311100120020001011101010
4222122302221232200
51221234420023321
632531314340520
73201455033466
oct523262515640
9140506034333
1045546642336
111835298a578
1289b158a740
1343ab247250
1422c10c6836
1512b891b676
hexa9aca9ba0

45546642336 has 192 divisors, whose sum is σ = 130692925440. Its totient is φ = 13805199360.

The previous prime is 45546642289. The next prime is 45546642347. The reversal of 45546642336 is 63324664554.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 25981236 + ... + 25982988.

It is an arithmetic number, because the mean of its divisors is an integer number (680692320).

Almost surely, 245546642336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45546642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65346462720).

45546642336 is an abundant number, since it is smaller than the sum of its proper divisors (85146283104).

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

45546642336 is a wasteful number, since it uses less digits than its factorization.

45546642336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2071 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 48.

The spelling of 45546642336 in words is "forty-five billion, five hundred forty-six million, six hundred forty-two thousand, three hundred thirty-six".