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427625369600 = 212521113192953
BaseRepresentation
bin1100011100100000111…
…01010101000000000000
31111212202221120112211212
412032100131111000000
524001234043311400
6524240503425252
742615645445112
oct6162035250000
91455687515755
10427625369600
1115539a411470
126aa62a55228
133142ba5aca0
14169a90b33b2
15b1cbd0d335
hex6390755000

427625369600 has 1248 divisors, whose sum is σ = 1382142787200. Its totient is φ = 128817561600.

The previous prime is 427625369597. The next prime is 427625369623. The reversal of 427625369600 is 6963526724.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 95 ways as a sum of consecutive naturals, for example, 8068403174 + ... + 8068403226.

Almost surely, 2427625369600 is an apocalyptic number.

427625369600 is a gapful number since it is divisible by the number (40) 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 427625369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691071393600).

427625369600 is an abundant number, since it is smaller than the sum of its proper divisors (954517417600).

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

427625369600 is a wasteful number, since it uses less digits than its factorization.

427625369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 427625369600 in words is "four hundred twenty-seven billion, six hundred twenty-five million, three hundred sixty-nine thousand, six hundred".