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30741396480 = 21033517103127
BaseRepresentation
bin11100101000010101…
…000111110000000000
32221100102100202011000
4130220111013300000
51000424244141410
622042234452000
72135541362424
oct345025076000
987312322130
1030741396480
11120457981a3
125b5b294000
132b8bb69842
1416b8abab84
15bedc76dc0
hex728547c00

30741396480 has 704 divisors, whose sum is σ = 117718548480. Its totient is φ = 7580418048.

The previous prime is 30741396449. The next prime is 30741396523. The reversal of 30741396480 is 8469314703.

30741396480 is a `hidden beast` number, since 3 + 0 + 74 + 13 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242058177 + ... + 242058303.

Almost surely, 230741396480 is an apocalyptic number.

30741396480 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 30741396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58859274240).

30741396480 is an abundant number, since it is smaller than the sum of its proper divisors (86977152000).

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

30741396480 is a wasteful number, since it uses less digits than its factorization.

30741396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30741396480 in words is "thirty billion, seven hundred forty-one million, three hundred ninety-six thousand, four hundred eighty".