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20409434656 = 251361804281
BaseRepresentation
bin10011000000011111…
…110100001000100000
31221200100221201000021
4103000133310020200
5313244303402111
613213113003224
71321523221642
oct230037641040
957610851007
1020409434656
118723659376
123b570b3514
131c03470670
14db8824892
157e6b94d71
hex4c07f4220

20409434656 has 48 divisors (see below), whose sum is σ = 43981356888. Its totient is φ = 9265305600.

The previous prime is 20409434623. The next prime is 20409434663. The reversal of 20409434656 is 65643490402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4749415056 + 15660019600 = 68916^2 + 125140^2 .

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 7 ways as a sum of consecutive naturals, for example, 376765 + ... + 427516.

Almost surely, 220409434656 is an apocalyptic number.

20409434656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20409434656 is an abundant number, since it is smaller than the sum of its proper divisors (23571922232).

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

20409434656 is a wasteful number, since it uses less digits than its factorization.

20409434656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804365 (or 804357 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 20409434656 in words is "twenty billion, four hundred nine million, four hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 804281 1608562 3217124 6434248 10455653 12868496 20911306 25736992 41822612 49061141 83645224 98122282 167290448 196244564 334580896 392489128 637794833 784978256 1275589666 1569956512 2551179332 5102358664 10204717328 20409434656