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406312195993 = 11218793178681
BaseRepresentation
bin1011110100110100001…
…10000001011110011001
31102211202121002011001121
411322122012001132121
523124111410232433
6510353544245241
741232536452534
oct5723206013631
91384677064047
10406312195993
11147352707700
12668b5170821
132c4132b5162
141594663ba1b
15a880b4dc2d
hex5e9a181799

406312195993 has 12 divisors (see below), whose sum is σ = 446633884564. Its totient is φ = 369353001600.

The previous prime is 406312195981. The next prime is 406312196041. The reversal of 406312195993 is 399591213604.

It can be written as a sum of positive squares in 2 ways, for example, as 328910279049 + 77401916944 = 573507^2 + 278212^2 .

It is not a de Polignac number, because 406312195993 - 29 = 406312195481 is a prime.

It is a super-2 number, since 2×4063121959932 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406312195993.

It is not an unprimeable number, because it can be changed into a prime (406312195943) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2184613 + ... + 2363293.

Almost surely, 2406312195993 is an apocalyptic number.

It is an amenable number.

406312195993 is a deficient number, since it is larger than the sum of its proper divisors (40321688571).

406312195993 is a wasteful number, since it uses less digits than its factorization.

406312195993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197496 (or 197485 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 52.

The spelling of 406312195993 in words is "four hundred six billion, three hundred twelve million, one hundred ninety-five thousand, nine hundred ninety-three".

Divisors: 1 11 121 18793 178681 206723 1965491 2273953 21620401 3357952033 36937472363 406312195993