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20493703296 = 273311292641
BaseRepresentation
bin10011000101100001…
…010001100010000000
31221220020111222212000
4103011201101202000
5313432342001141
613225323104000
71323565414053
oct230541214200
957806458760
1020493703296
118767185680
123b7b372000
131c17a66971
14dc5abca9a
157ee28d5b6
hex4c5851880

20493703296 has 384 divisors, whose sum is σ = 68443876800. Its totient is φ = 5986713600.

The previous prime is 20493703249. The next prime is 20493703309. The reversal of 20493703296 is 69230739402.

20493703296 is a `hidden beast` number, since 2 + 0 + 493 + 70 + 3 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31971136 + ... + 31971776.

Almost surely, 220493703296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20493703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34221938400).

20493703296 is an abundant number, since it is smaller than the sum of its proper divisors (47950173504).

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

20493703296 is a wasteful number, since it uses less digits than its factorization.

20493703296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 20493703296 in words is "twenty billion, four hundred ninety-three million, seven hundred three thousand, two hundred ninety-six".