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56205406653 = 31122296131103
BaseRepresentation
bin110100010110000110…
…100111000110111101
312101002001101111020220
4310112012213012331
51410102041003103
641453112531553
74026552034224
oct642606470675
9171061344226
1056205406653
1121922539a00
12aa870b0bb9
1353b9566996
142a1292bcbb
1516de553c53
hexd161a71bd

56205406653 has 48 divisors (see below), whose sum is σ = 82942460160. Its totient is φ = 33829107840.

The previous prime is 56205406637. The next prime is 56205406661. The reversal of 56205406653 is 35660450265.

It is not a de Polignac number, because 56205406653 - 24 = 56205406637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56205406633) 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 47 ways as a sum of consecutive naturals, for example, 50956300 + ... + 50957402.

It is an arithmetic number, because the mean of its divisors is an integer number (1727967920).

Almost surely, 256205406653 is an apocalyptic number.

It is an amenable number.

56205406653 is a deficient number, since it is larger than the sum of its proper divisors (26737053507).

56205406653 is a wasteful number, since it uses less digits than its factorization.

56205406653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 56205406653 in words is "fifty-six billion, two hundred five million, four hundred six thousand, six hundred fifty-three".

Divisors: 1 3 11 33 121 229 363 613 687 1103 1839 2519 3309 6743 7557 12133 20229 27709 36399 74173 83127 133463 140377 222519 252587 400389 421131 676139 757761 1544147 2028417 2778457 4632441 7437529 8335371 16985617 22312587 30563027 50956851 81812819 91689081 154835831 245438457 464507493 1703194141 5109582423 18735135551 56205406653