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30055250880 = 263553071259
BaseRepresentation
bin11011111111011011…
…101011101111000000
32212120121020221100000
4123333123223233000
5443023121012010
621450204200000
72112540263064
oct337733535700
985517227300
1030055250880
1111823450916
1259a9539000
132aac96b525
14165190baa4
15bad8de7c0
hex6ff6ebbc0

30055250880 has 336 divisors, whose sum is σ = 107640973440. Its totient is φ = 7982281728.

The previous prime is 30055250879. The next prime is 30055250887. The reversal of 30055250880 is 8805255003.

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 (30055250887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23871691 + ... + 23872949.

It is an arithmetic number, because the mean of its divisors is an integer number (320360040).

Almost surely, 230055250880 is an apocalyptic number.

30055250880 is a gapful number since it is divisible by the number (30) 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 30055250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53820486720).

30055250880 is an abundant number, since it is smaller than the sum of its proper divisors (77585722560).

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

30055250880 is a wasteful number, since it uses less digits than its factorization.

30055250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 30055250880 in words is "thirty billion, fifty-five million, two hundred fifty thousand, eight hundred eighty".