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20355810048 = 283276192039
BaseRepresentation
bin10010111101010011…
…010000001100000000
31221112122001021212200
4102331103100030000
5313142041410143
613203515353200
71320302346660
oct227523201400
957478037780
1020355810048
1186a6362412
123b41152800
131bc5316522
14db16661a0
157e21011d3
hex4bd4d0300

20355810048 has 216 divisors, whose sum is σ = 67216531200. Its totient is φ = 5803702272.

The previous prime is 20355810031. The next prime is 20355810067. The reversal of 20355810048 is 84001855302.

It is a happy number.

20355810048 is a `hidden beast` number, since 2 + 0 + 35 + 581 + 0 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20355809994 and 20355810021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9982213 + ... + 9984251.

Almost surely, 220355810048 is an apocalyptic number.

20355810048 is a gapful number since it is divisible by the number (28) 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 20355810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33608265600).

20355810048 is an abundant number, since it is smaller than the sum of its proper divisors (46860721152).

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

20355810048 is a wasteful number, since it uses less digits than its factorization.

20355810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 20355810048 in words is "twenty billion, three hundred fifty-five million, eight hundred ten thousand, forty-eight".