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75560450000 = 24557230841
BaseRepresentation
bin100011001011111000…
…0001111011111010000
321020000221022120022012
41012113300033133100
52214221433400000
654413442402052
75313313141100
oct1062760173720
9236027276265
1075560450000
112a0549a44a2
1212789060328
137182435059
14392b2c7200
151e73871735
hex1197c0f7d0

75560450000 has 180 divisors, whose sum is σ = 212868461484. Its totient is φ = 25905600000.

The previous prime is 75560449963. The next prime is 75560450027. The reversal of 75560450000 is 5406557.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51922002496 + 23638447504 = 227864^2 + 153748^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2434580 + ... + 2465420.

Almost surely, 275560450000 is an apocalyptic number.

75560450000 is a gapful number since it is divisible by the number (70) 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 75560450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106434230742).

75560450000 is an abundant number, since it is smaller than the sum of its proper divisors (137308011484).

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

75560450000 is an equidigital number, since it uses as much as digits as its factorization.

75560450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30888 (or 30855 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

Adding to 75560450000 its reverse (5406557), we get a palindrome (75565856557).

The spelling of 75560450000 in words is "seventy-five billion, five hundred sixty million, four hundred fifty thousand".