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30547722240 = 21433571973
BaseRepresentation
bin11100011100110010…
…010100000000000000
32220211220221002001000
4130130302110000000
51000030204102430
622011115412000
72131000232460
oct343462240000
986756832030
1030547722240
1111a56435942
125b06454000
132b5a9b88b9
14169b0a3ba0
15bdbc6be60
hex71cc94000

30547722240 has 480 divisors, whose sum is σ = 124189551360. Its totient is φ = 6978797568.

The previous prime is 30547722209. The next prime is 30547722241. The reversal of 30547722240 is 4222774503.

It is a happy number.

30547722240 is a `hidden beast` number, since 3 + 0 + 547 + 72 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30547722195 and 30547722204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30547722241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15481894 + ... + 15483866.

It is an arithmetic number, because the mean of its divisors is an integer number (258728232).

Almost surely, 230547722240 is an apocalyptic number.

30547722240 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 30547722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62094775680).

30547722240 is an abundant number, since it is smaller than the sum of its proper divisors (93641829120).

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

30547722240 is an equidigital number, since it uses as much as digits as its factorization.

30547722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 30547722240 in words is "thirty billion, five hundred forty-seven million, seven hundred twenty-two thousand, two hundred forty".