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30295394426880 = 2133351119131071
BaseRepresentation
bin1101110001101101100100…
…01110010010000000000000
310222021012201010102102122000
412320312302032102000000
512432324431433130010
6144233302334544000
76244525054524642
oct670666216220000
9128235633372560
1030295394426880
11972022839a080
12349354a368000
1313b9ac704bc5b
1476a43a980892
153780bce937c0
hex1b8db2392000

30295394426880 has 896 divisors, whose sum is σ = 123687508377600. Its totient is φ = 6957740851200.

The previous prime is 30295394426867. The next prime is 30295394426881. The reversal of 30295394426880 is 8862449359203.

It is a happy number.

30295394426880 is a `hidden beast` number, since 3 + 0 + 2 + 9 + 53 + 9 + 442 + 68 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (30295394426881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 231071745 + ... + 231202815.

Almost surely, 230295394426880 is an apocalyptic number.

30295394426880 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 30295394426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61843754188800).

30295394426880 is an abundant number, since it is smaller than the sum of its proper divisors (93392113950720).

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

30295394426880 is a wasteful number, since it uses less digits than its factorization.

30295394426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131141 (or 131111 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 30295394426880 in words is "thirty trillion, two hundred ninety-five billion, three hundred ninety-four million, four hundred twenty-six thousand, eight hundred eighty".