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56453400829 = 7222922432
BaseRepresentation
bin110100100100111000…
…101000100011111101
312101201100000220022101
4310210320220203331
51411104032311304
641533452145101
74035652663300
oct644470504375
9171640026271
1056453400829
1121a3a522671
12ab36168191
135428a563b7
142a37844b37
1517061dd8a4
hexd24e288fd

56453400829 has 18 divisors (see below), whose sum is σ = 65986471230. Its totient is φ = 48155846256.

The previous prime is 56453400781. The next prime is 56453400851. The reversal of 56453400829 is 92800435465.

56453400829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55467315225 + 986085604 = 235515^2 + 31402^2 .

It is not a de Polignac number, because 56453400829 - 27 = 56453400701 is a prime.

It is a super-3 number, since 3×564534008293 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56453400859) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25167582 + ... + 25169824.

Almost surely, 256453400829 is an apocalyptic number.

It is an amenable number.

56453400829 is a deficient number, since it is larger than the sum of its proper divisors (9533070401).

56453400829 is an frugal number, since it uses more digits than its factorization.

56453400829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 56453400829 in words is "fifty-six billion, four hundred fifty-three million, four hundred thousand, eight hundred twenty-nine".

Divisors: 1 7 49 229 1603 2243 11221 15701 109907 513647 3595529 5031049 25168703 35217343 246521401 1152110221 8064771547 56453400829