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545324531136 = 263721115134897
BaseRepresentation
bin1111110111101111101…
…11111111110111000000
31221010120121022110022220
413323313313333313000
532413311034444021
61054304005131040
754253436014500
oct7736767776700
91833517273286
10545324531136
111a02a85325a0
12898300b9a80
133c568368678
141c572a0da00
15e2b9cc8cc6
hex7ef7dffdc0

545324531136 has 336 divisors, whose sum is σ = 1843163834112. Its totient is φ = 140700672000.

The previous prime is 545324531131. The next prime is 545324531189. The reversal of 545324531136 is 631135423545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545324531131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15609240 + ... + 15644136.

Almost surely, 2545324531136 is an apocalyptic number.

545324531136 is a gapful number since it is divisible by the number (56) 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 545324531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921581917056).

545324531136 is an abundant number, since it is smaller than the sum of its proper divisors (1297839302976).

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

545324531136 is a wasteful number, since it uses less digits than its factorization.

545324531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35088 (or 35071 counting only the distinct ones).

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

The spelling of 545324531136 in words is "five hundred forty-five billion, three hundred twenty-four million, five hundred thirty-one thousand, one hundred thirty-six".