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20689704960 = 211351935447
BaseRepresentation
bin10011010001001100…
…111101100000000000
31222101220022220120220
4103101030331200000
5314333031024320
613301004103040
71331465406351
oct232114754000
958356286526
1020689704960
118857887621
124014b34a80
131c49551092
141003b3dd28
158115a7e40
hex4d133d800

20689704960 has 192 divisors, whose sum is σ = 69676588800. Its totient is φ = 5226725376.

The previous prime is 20689704943. The next prime is 20689705019. The reversal of 20689704960 is 6940798602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 565957 + ... + 601403.

It is an arithmetic number, because the mean of its divisors is an integer number (362898900).

Almost surely, 220689704960 is an apocalyptic number.

20689704960 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 20689704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34838294400).

20689704960 is an abundant number, since it is smaller than the sum of its proper divisors (48986883840).

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

20689704960 is a wasteful number, since it uses less digits than its factorization.

20689704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35496 (or 35476 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 20689704960 in words is "twenty billion, six hundred eighty-nine million, seven hundred four thousand, nine hundred sixty".