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45459523032 = 2337211113137227
BaseRepresentation
bin101010010101100110…
…010100010111011000
311100100011010001011020
4222111212110113120
51221100114214112
632514523202440
73166346366400
oct522546242730
9140304101136
1045459523032
1118308796550
128988376420
134396193571
1422b36c9800
1512b0e5d48c
hexa959945d8

45459523032 has 384 divisors, whose sum is σ = 147206211840. Its totient is φ = 11566571520.

The previous prime is 45459523027. The next prime is 45459523093. The reversal of 45459523032 is 23032595454.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 200262103 + ... + 200262329.

It is an arithmetic number, because the mean of its divisors is an integer number (383349510).

Almost surely, 245459523032 is an apocalyptic number.

45459523032 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 45459523032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73603105920).

45459523032 is an abundant number, since it is smaller than the sum of its proper divisors (101746688808).

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

45459523032 is a wasteful number, since it uses less digits than its factorization.

45459523032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 45459523032 in words is "forty-five billion, four hundred fifty-nine million, five hundred twenty-three thousand, thirty-two".