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10427555520 = 263352941617
BaseRepresentation
bin10011011011000011…
…11101111011000000
3222220201021201001000
421231201331323000
5132323423234040
64442414412000
7516255521334
oct115541757300
928821251030
1010427555520
1144710a0888
122030201000
13ca24591c5
1470cc5b7c4
154106b6130
hex26d87dec0

10427555520 has 224 divisors, whose sum is σ = 38055499200. Its totient is φ = 2684731392.

The previous prime is 10427555503. The next prime is 10427555531. The reversal of 10427555520 is 2555572401.

10427555520 is a `hidden beast` number, since 10 + 4 + 2 + 75 + 55 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229752 + ... + 271368.

Almost surely, 210427555520 is an apocalyptic number.

10427555520 is a gapful number since it is divisible by the number (10) 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 10427555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027749600).

10427555520 is an abundant number, since it is smaller than the sum of its proper divisors (27627943680).

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

10427555520 is a wasteful number, since it uses less digits than its factorization.

10427555520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41672 (or 41656 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 10427555520 in words is "ten billion, four hundred twenty-seven million, five hundred fifty-five thousand, five hundred twenty".