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20912786496 = 2633731431297
BaseRepresentation
bin10011011110011111…
…111100110001000000
31222222110002121221000
4103132133330301000
5320312133131441
613335053332000
71340144516010
oct233637746100
958873077830
1020912786496
1189617a5028
124077797000
131c8382a2a4
14102560dc40
15825e712b6
hex4de7fcc40

20912786496 has 448 divisors, whose sum is σ = 74273013760. Its totient is φ = 5643509760.

The previous prime is 20912786437. The next prime is 20912786513. The reversal of 20912786496 is 69468721902.

20912786496 is a `hidden beast` number, since 20 + 9 + 127 + 8 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16123320 + ... + 16124616.

Almost surely, 220912786496 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 20912786496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37136506880).

20912786496 is an abundant number, since it is smaller than the sum of its proper divisors (53360227264).

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

20912786496 is a wasteful number, since it uses less digits than its factorization.

20912786496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 20912786496 in words is "twenty billion, nine hundred twelve million, seven hundred eighty-six thousand, four hundred ninety-six".