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427389371136 = 28337513283
BaseRepresentation
bin1100011100000100110…
…01000100001100000000
31111212011111111120211000
412032002121010030000
524000243134334021
6524201233252000
742610051500000
oct6160231041400
91455144446730
10427389371136
11155289181312
126a9b7a04000
13313c1bab620
1416985a00000
15b1b6242b26
hex6382644300

427389371136 has 864 divisors, whose sum is σ = 1593531179520. Its totient is φ = 112319778816.

The previous prime is 427389371089. The next prime is 427389371141. The reversal of 427389371136 is 631173983724.

427389371136 is a `hidden beast` number, since 427 + 3 + 89 + 3 + 7 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1510209651 + ... + 1510209933.

Almost surely, 2427389371136 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 427389371136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796765589760).

427389371136 is an abundant number, since it is smaller than the sum of its proper divisors (1166141808384).

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

427389371136 is an frugal number, since it uses more digits than its factorization.

427389371136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 308 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 427389371136 in words is "four hundred twenty-seven billion, three hundred eighty-nine million, three hundred seventy-one thousand, one hundred thirty-six".