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307730486448 = 2434711191091489
BaseRepresentation
bin1000111101001100010…
…10101001010010110000
31002102022021012102120000
410132212022221102300
520020213001031243
6353211444150000
731142563655610
oct4364612512260
91072267172500
10307730486448
11109564923180
124b782398300
1323032589448
1410c73ad0a40
1580111bd5d3
hex47a62a94b0

307730486448 has 800 divisors, whose sum is σ = 1180394688000. Its totient is φ = 74978058240.

The previous prime is 307730486411. The next prime is 307730486477. The reversal of 307730486448 is 844684037703.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 307730486394 and 307730486403.

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 159 ways as a sum of consecutive naturals, for example, 206668488 + ... + 206669976.

It is an arithmetic number, because the mean of its divisors is an integer number (1475493360).

Almost surely, 2307730486448 is an apocalyptic number.

307730486448 is a gapful number since it is divisible by the number (38) 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 307730486448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590197344000).

307730486448 is an abundant number, since it is smaller than the sum of its proper divisors (872664201552).

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

307730486448 is a wasteful number, since it uses less digits than its factorization.

307730486448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 307730486448 in words is "three hundred seven billion, seven hundred thirty million, four hundred eighty-six thousand, four hundred forty-eight".