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406576478893 = 131943351110903
BaseRepresentation
bin1011110101010011101…
…10001011101010101101
31102212110000101010001011
411322221312023222231
523130132034311033
6510440104545221
741242226022604
oct5725166135255
91385400333034
10406576478893
11147478906322
1266969782211
132c455c88980
141596d794a3b
15a898e54ccd
hex5ea9d8baad

406576478893 has 32 divisors (see below), whose sum is σ = 471792527360. Its totient is φ = 347149333440.

The previous prime is 406576478873. The next prime is 406576478921. The reversal of 406576478893 is 398874675604.

It is not a de Polignac number, because 406576478893 - 233 = 397986544301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406576478863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37284880 + ... + 37295782.

It is an arithmetic number, because the mean of its divisors is an integer number (14743516480).

Almost surely, 2406576478893 is an apocalyptic number.

406576478893 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

406576478893 is a deficient number, since it is larger than the sum of its proper divisors (65216048467).

406576478893 is a wasteful number, since it uses less digits than its factorization.

406576478893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14489.

The product of its (nonzero) digits is 243855360, while the sum is 67.

The spelling of 406576478893 in words is "four hundred six billion, five hundred seventy-six million, four hundred seventy-eight thousand, eight hundred ninety-three".

Divisors: 1 13 19 43 247 559 817 3511 10621 10903 45643 66709 141739 150973 207157 468829 867217 1962649 2693041 2868487 6094777 8907751 37290331 38280433 115800763 497645629 727328227 1646058619 9455266951 21398762047 31275113761 406576478893