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20304296640 = 2632529283101
BaseRepresentation
bin10010111010001110…
…101111101011000000
31221102001010010202200
4102322032233223000
5313040344443030
613154435313200
71316105450055
oct227216575300
957361103680
1020304296640
11867a278651
123b27a4b800
131bb774b314
14da889702c
157dc827d60
hex4ba3afac0

20304296640 has 504 divisors, whose sum is σ = 73925783568. Its totient is φ = 5113651200.

The previous prime is 20304296587. The next prime is 20304296671. The reversal of 20304296640 is 4669240302.

20304296640 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 4 + 2 + 9 + 6 + 640 = 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 = 20304296595 and 20304296604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201032590 + ... + 201032690.

It is an arithmetic number, because the mean of its divisors is an integer number (146678142).

Almost surely, 220304296640 is an apocalyptic number.

20304296640 is a gapful number since it is divisible by the number (20) 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 20304296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36962891784).

20304296640 is an abundant number, since it is smaller than the sum of its proper divisors (53621486928).

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

20304296640 is a wasteful number, since it uses less digits than its factorization.

20304296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20304296640 in words is "twenty billion, three hundred four million, two hundred ninety-six thousand, six hundred forty".