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1023427830528 = 2834471139293
BaseRepresentation
bin11101110010010010000…
…11010110001100000000
310121211122110000112020000
432321021003112030000
5113231440011034103
62102053430120000
7133640332011645
oct16711103261400
93554573015200
101023427830528
11365040369804
1214641bab0000
137567cb9195c
1437769aa1dcc
151b94d3d5aa3
hexee490d6300

1023427830528 has 360 divisors, whose sum is σ = 3144524822208. Its totient is φ = 330893918208.

The previous prime is 1023427830527. The next prime is 1023427830539. The reversal of 1023427830528 is 8250387243201.

1023427830528 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 42 + 7 + 83 + 0 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (1023427830527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110124250 + ... + 110133542.

Almost surely, 21023427830528 is an apocalyptic number.

1023427830528 is a gapful number since it is divisible by the number (18) 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 1023427830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572262411104).

1023427830528 is an abundant number, since it is smaller than the sum of its proper divisors (2121096991680).

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

1023427830528 is an equidigital number, since it uses as much as digits as its factorization.

1023427830528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1023427830528 in words is "one trillion, twenty-three billion, four hundred twenty-seven million, eight hundred thirty thousand, five hundred twenty-eight".