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56430105431 = 71919912791667
BaseRepresentation
bin110100100011011111…
…110001001101010111
312101122201012101000212
4310203133301031113
51411032101333211
641531301000035
74035250660550
oct644337611527
9171581171025
1056430105431
1121a28361477
12ab2a3b301b
135423c8b03b
142a346dd327
15170413b38b
hexd237f1357

56430105431 has 32 divisors (see below), whose sum is σ = 68321280000. Its totient is φ = 45529700832.

The previous prime is 56430105367. The next prime is 56430105437. The reversal of 56430105431 is 13450103465.

It is not a de Polignac number, because 56430105431 - 26 = 56430105367 is a prime.

It is a super-3 number, since 3×564301054313 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56430105437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33850460 + ... + 33852126.

It is an arithmetic number, because the mean of its divisors is an integer number (2135040000).

Almost surely, 256430105431 is an apocalyptic number.

56430105431 is a deficient number, since it is larger than the sum of its proper divisors (11891174569).

56430105431 is a wasteful number, since it uses less digits than its factorization.

56430105431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171.

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 56430105431 its reverse (13450103465), we get a palindrome (69880208896).

The spelling of 56430105431 in words is "fifty-six billion, four hundred thirty million, one hundred five thousand, four hundred thirty-one".

Divisors: 1 7 19 133 199 1279 1393 1667 3781 8953 11669 24301 26467 31673 170107 221711 254521 331733 1781647 2132093 2322131 4835899 6302927 14924651 33851293 40509767 44120489 283568369 424286507 2970005549 8061443633 56430105431