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427768562880 = 263251753353467
BaseRepresentation
bin1100011100110001111…
…11100100010011000000
31111220010221000112002200
412032120333210103000
524002032223003010
6524303020513200
742622334535201
oct6163077442300
91456127015080
10427768562880
1115546322471a
126aaa29ab800
1331452615939
14169c01095a8
15b1d9695cc0
hex6398fe44c0

427768562880 has 672 divisors, whose sum is σ = 1595194720704. Its totient is φ = 104812511232.

The previous prime is 427768562873. The next prime is 427768562909. The reversal of 427768562880 is 88265867724.

427768562880 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 68 + 562 + 8 + 8 + 0 = 666.

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, 915992407 + ... + 915992873.

Almost surely, 2427768562880 is an apocalyptic number.

427768562880 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 427768562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797597360352).

427768562880 is an abundant number, since it is smaller than the sum of its proper divisors (1167426157824).

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

427768562880 is a wasteful number, since it uses less digits than its factorization.

427768562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 427768562880 in words is "four hundred twenty-seven billion, seven hundred sixty-eight million, five hundred sixty-two thousand, eight hundred eighty".