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56576422467565 = 57211138918144431
BaseRepresentation
bin11001101110100101110011…
…00100000101011111101101
321102022122122011021010101021
430313102321210011133231
524403422003122430230
6320154503310214141
714626340330155600
oct1467227144053755
9242278564233337
1056576422467565
1117032a205a1a40
126418a814b4351
132575197ac0b40
14dd84561b4337
15681a38ac4c7a
hex3374b99057ed

56576422467565 has 96 divisors (see below), whose sum is σ = 93825583649280. Its totient is φ = 32189670374400.

The previous prime is 56576422467541. The next prime is 56576422467571.

56576422467565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56576422467565 - 217 = 56576422336493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56576422467494 and 56576422467503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5954101 + ... + 12190330.

It is an arithmetic number, because the mean of its divisors is an integer number (977349829680).

Almost surely, 256576422467565 is an apocalyptic number.

56576422467565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56576422467565 is a deficient number, since it is larger than the sum of its proper divisors (37249161181715).

56576422467565 is a wasteful number, since it uses less digits than its factorization.

56576422467565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18144563 (or 18144556 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 70.

The spelling of 56576422467565 in words is "fifty-six trillion, five hundred seventy-six billion, four hundred twenty-two million, four hundred sixty-seven thousand, five hundred sixty-five".

Divisors: 1 5 7 11 13 35 49 55 65 77 89 91 143 245 385 445 455 539 623 637 715 979 1001 1157 2695 3115 3185 4361 4895 5005 5785 6853 7007 8099 12727 21805 34265 35035 40495 47971 56693 63635 89089 239855 283465 445445 623623 3118115 18144431 90722155 127011017 199588741 235877603 635055085 889077119 997943705 1179388015 1397121187 1614854359 1651143221 2594653633 4445385595 6985605935 8074271795 8255716105 9779848309 11303980513 11558002547 12973268165 17763397949 18162575431 20993106667 48899241545 56519902565 57790012735 79127863591 88816989745 90812877155 104965533335 124343785643 127138028017 146951746669 230924173337 395639317955 621718928215 635690140085 734758733345 870406499501 1028662226683 1154620866685 1616469213359 4352032497505 5143311133415 8082346066795 11315284493513 56576422467565