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19320600064 = 29197191551
BaseRepresentation
bin10001111111100110…
…001111011000000000
31211212111010011202011
4101333212033120000
5304032033200224
612513055302304
71252532251033
oct217746173000
954774104664
1019320600064
118214a7a877
1238b251a994
131a8b9cbb3c
14d13d9101a
157812b7394
hex47f98f600

19320600064 has 40 divisors (see below), whose sum is σ = 38799623808. Its totient is φ = 9611212800.

The previous prime is 19320600041. The next prime is 19320600067. The reversal of 19320600064 is 46000602391.

It is a junction number, because it is equal to n+sod(n) for n = 19320599999 and 19320600035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19320600067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5089 + ... + 196639.

Almost surely, 219320600064 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 19320600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19399811904).

19320600064 is an abundant number, since it is smaller than the sum of its proper divisors (19479023744).

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

19320600064 is an equidigital number, since it uses as much as digits as its factorization.

19320600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191766 (or 191750 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 19320600064 in words is "nineteen billion, three hundred twenty million, six hundred thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1576 3152 6304 12608 25216 50432 100864 191551 383102 766204 1532408 3064816 6129632 12259264 24518528 37735547 49037056 75471094 98074112 150942188 301884376 603768752 1207537504 2415075008 4830150016 9660300032 19320600064