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30180553344 = 27361929587
BaseRepresentation
bin11100000110111001…
…101011001010000000
32212220100000222000000
4130012321223022000
5443302210201334
621510442000000
72115621320304
oct340671531200
985810028000
1030180553344
1111888154477
125a234a6000
132acc900ab6
141664407d04
15bb98e1299
hex706e6b280

30180553344 has 448 divisors, whose sum is σ = 98330652000. Its totient is φ = 9186379776.

The previous prime is 30180553331. The next prime is 30180553357. The reversal of 30180553344 is 44335508103.

30180553344 is a `hidden beast` number, since 3 + 0 + 1 + 80 + 5 + 533 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (30180553331) and next prime (30180553357).

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 = 30180553299 and 30180553308.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 51414619 + ... + 51415205.

Almost surely, 230180553344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30180553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49165326000).

30180553344 is an abundant number, since it is smaller than the sum of its proper divisors (68150098656).

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

30180553344 is an equidigital number, since it uses as much as digits as its factorization.

30180553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 30180553344 in words is "thirty billion, one hundred eighty million, five hundred fifty-three thousand, three hundred forty-four".