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20438288064 = 26343942571
BaseRepresentation
bin10011000010001101…
…111000011011000000
31221202101020121110000
4103002031320123000
5313324200204224
613220023240000
71322323403445
oct230215703300
957671217400
1020438288064
118738976367
123b648a9000
131c0943379c
14dbc5b59cc
157e94940c9
hex4c23786c0

20438288064 has 70 divisors (see below), whose sum is σ = 60585503924. Its totient is φ = 6812760960.

The previous prime is 20438288009. The next prime is 20438288069. The reversal of 20438288064 is 46088283402.

20438288064 is a `hidden beast` number, since 204 + 382 + 8 + 8 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (20438288069) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1966102 + ... + 1976469.

Almost surely, 220438288064 is an apocalyptic number.

20438288064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20438288064 is an abundant number, since it is smaller than the sum of its proper divisors (40147215860).

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

20438288064 is an equidigital number, since it uses as much as digits as its factorization.

20438288064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942595 (or 3942576 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 20438288064 in words is "twenty billion, four hundred thirty-eight million, two hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 3942571 7885142 11827713 15770284 23655426 31540568 35483139 47310852 63081136 70966278 94621704 106449417 126162272 141932556 189243408 212898834 252324544 283865112 319348251 378486816 425797668 567730224 638696502 756973632 851595336 1135460448 1277393004 1703190672 2270920896 2554786008 3406381344 5109572016 6812762688 10219144032 20438288064