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45350245332 = 22357103163397
BaseRepresentation
bin101010001111000101…
…011101001111010100
311100001112111011100000
4222033011131033110
51220334130322312
632500021051300
73163551503460
oct521705351724
9140045434300
1045350245332
11182620385a7
128957856b30
134379651bc2
1422a2da14a0
1512a6574adc
hexa8f15d3d4

45350245332 has 288 divisors, whose sum is σ = 138372462592. Its totient is φ = 12720571776.

The previous prime is 45350245321. The next prime is 45350245333. The reversal of 45350245332 is 23354205354.

45350245332 is a `hidden beast` number, since 4 + 53 + 50 + 24 + 533 + 2 = 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 (45350245333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114232158 + ... + 114232554.

Almost surely, 245350245332 is an apocalyptic number.

45350245332 is a gapful number since it is divisible by the number (42) 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 45350245332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69186231296).

45350245332 is an abundant number, since it is smaller than the sum of its proper divisors (93022217260).

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

45350245332 is a wasteful number, since it uses less digits than its factorization.

45350245332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 45350245332 in words is "forty-five billion, three hundred fifty million, two hundred forty-five thousand, three hundred thirty-two".