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427374489600 = 2123352331467
BaseRepresentation
bin1100011100000011000…
…00010011000000000000
31111212010110111112012000
412032001200103000000
524000230332131400
6524155542304000
742606511136412
oct6160140230000
91455113445160
10427374489600
11155280837623
126a9b2a28000
13313bba9ab96
1416983a489b2
15b1b4ca3600
hex6381813000

427374489600 has 624 divisors, whose sum is σ = 1578129171840. Its totient is φ = 113378918400.

The previous prime is 427374489589. The next prime is 427374489631. The reversal of 427374489600 is 6984473724.

427374489600 is a `hidden beast` number, since 4 + 27 + 3 + 7 + 4 + 4 + 8 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915148567 + ... + 915149033.

It is an arithmetic number, because the mean of its divisors is an integer number (2529053160).

Almost surely, 2427374489600 is an apocalyptic number.

427374489600 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 427374489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789064585920).

427374489600 is an abundant number, since it is smaller than the sum of its proper divisors (1150754682240).

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

427374489600 is a wasteful number, since it uses less digits than its factorization.

427374489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 427374489600 in words is "four hundred twenty-seven billion, three hundred seventy-four million, four hundred eighty-nine thousand, six hundred".