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30774260448 = 2533711014967
BaseRepresentation
bin11100101010010010…
…011111001011100000
32221102201012102001000
4130222102133023200
51001011202313243
622045411112000
72136420616641
oct345222371340
987381172030
1030774260448
11120622a43a8
125b6a2a2600
132b95905289
1416bd1d36c8
15c01ab95d3
hex72a49f2e0

30774260448 has 192 divisors, whose sum is σ = 91942179840. Its totient is φ = 10011456000.

The previous prime is 30774260431. The next prime is 30774260471. The reversal of 30774260448 is 84406247703.

30774260448 is a `hidden beast` number, since 30 + 7 + 7 + 4 + 2 + 604 + 4 + 8 = 666.

It is a super-2 number, since 2×307742604482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6193261 + ... + 6198227.

It is an arithmetic number, because the mean of its divisors is an integer number (478865520).

Almost surely, 230774260448 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 30774260448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45971089920).

30774260448 is an abundant number, since it is smaller than the sum of its proper divisors (61167919392).

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

30774260448 is a wasteful number, since it uses less digits than its factorization.

30774260448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 30774260448 in words is "thirty billion, seven hundred seventy-four million, two hundred sixty thousand, four hundred forty-eight".