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56324422442365 = 57112347222117257
BaseRepresentation
bin11001100111010000011010…
…01100010001110101111101
321101102120011211202110110121
430303220031030101311331
524340304404121123430
6315443025451134541
714602206460250560
oct1463501514216575
9241376154673417
1056324422442365
1116a46065104200
126398073144451
1325574a75792ac
14dca18bcdc4d7
1567a1da3e0a7a
hex333a0d311d7d

56324422442365 has 96 divisors (see below), whose sum is σ = 85193535474432. Its totient is φ = 34992351820800.

The previous prime is 56324422442339. The next prime is 56324422442423.

56324422442365 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56324422442365 - 211 = 56324422440317 is a prime.

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, 3263850817 + ... + 3263868073.

It is an arithmetic number, because the mean of its divisors is an integer number (887432661192).

Almost surely, 256324422442365 is an apocalyptic number.

56324422442365 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56324422442365 is a deficient number, since it is larger than the sum of its proper divisors (28869113032067).

56324422442365 is a wasteful number, since it uses less digits than its factorization.

56324422442365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19859 (or 19848 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

The spelling of 56324422442365 in words is "fifty-six trillion, three hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, three hundred sixty-five".

Divisors: 1 5 7 11 35 55 77 121 347 385 605 847 1735 2221 2429 3817 4235 11105 12145 15547 17257 19085 24431 26719 41987 77735 86285 120799 122155 133595 171017 189827 209935 268741 293909 603995 770687 855085 949135 1328789 1343705 1469545 1881187 2088097 3853435 5394809 5988179 6643945 8477557 9405935 10440485 14616679 26974045 29940895 38327797 41917253 42387785 59342899 65869969 73083395 93253127 191638985 209586265 268294579 296714495 329349845 421605767 461089783 466265635 652771889 724569659 1341472895 2108028835 2305448915 2951240369 3263859445 3622848295 4637663437 5071987613 13299745559 14756201845 23188317185 25359938065 32463644059 66498727795 93098218913 146297201149 162318220295 465491094565 731486005745 1024080408043 1609269212639 5120402040215 8046346063195 11264884488473 56324422442365