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56400362209 is a prime number
BaseRepresentation
bin110100100001101110…
…010011101011100001
312101120122020021000001
4310201232103223201
51411001443042314
641524315300001
74034440111612
oct644156235341
9171518207001
1056400362209
1121a125969a4
12ab2044a601
13541aa75bb9
142a30799c09
151701713674
hexd21b93ae1

56400362209 has 2 divisors, whose sum is σ = 56400362210. Its totient is φ = 56400362208.

The previous prime is 56400362167. The next prime is 56400362257. The reversal of 56400362209 is 90226300465.

56400362209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40763610000 + 15636752209 = 201900^2 + 125047^2 .

It is a cyclic number.

It is not a de Polignac number, because 56400362209 - 215 = 56400329441 is a prime.

It is not a weakly prime, because it can be changed into another prime (56400362269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28200181104 + 28200181105.

It is an arithmetic number, because the mean of its divisors is an integer number (28200181105).

Almost surely, 256400362209 is an apocalyptic number.

It is an amenable number.

56400362209 is a deficient number, since it is larger than the sum of its proper divisors (1).

56400362209 is an equidigital number, since it uses as much as digits as its factorization.

56400362209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 37.

It can be divided in two parts, 56400 and 362209, that added together give a square (418609 = 6472).

The spelling of 56400362209 in words is "fifty-six billion, four hundred million, three hundred sixty-two thousand, two hundred nine".