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56748277284765 = 35114717534174351
BaseRepresentation
bin11001110011100101111001…
…11010001011111110011101
321102221002020000102101100220
430321302330322023332131
524414230432441103030
6320405444303311553
714644633133051223
oct1471627472137635
9242832200371326
1056748277284765
111709989a114790
1264462432ab5b9
1325884550bbba1
1410028ba312b13
156862461a5a10
hex339cbce8bf9d

56748277284765 has 64 divisors (see below), whose sum is σ = 101216748552192. Its totient is φ = 26913537216000.

The previous prime is 56748277284719. The next prime is 56748277284767.

56748277284765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56748277284765 - 26 = 56748277284701 is a prime.

It is a super-2 number, since 2×567482772847652 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56748277284767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11507340 + ... + 15681690.

It is an arithmetic number, because the mean of its divisors is an integer number (1581511696128).

Almost surely, 256748277284765 is an apocalyptic number.

56748277284765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56748277284765 is a deficient number, since it is larger than the sum of its proper divisors (44468471267427).

56748277284765 is a wasteful number, since it uses less digits than its factorization.

56748277284765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176170.

The product of its digits is 8851046400, while the sum is 78.

The spelling of 56748277284765 in words is "fifty-six trillion, seven hundred forty-eight billion, two hundred seventy-seven million, two hundred eighty-four thousand, seven hundred sixty-five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 517 705 1551 1753 2585 5259 7755 8765 19283 26295 57849 82391 96415 247173 289245 411955 906301 1235865 2718903 4174351 4531505 12523053 13594515 20871755 45917861 62615265 137753583 196194497 229589305 588583491 688767915 980972485 2158139467 2942917455 6474418401 7317637303 10790697335 21952911909 32372092005 36588186515 80494010333 109764559545 241482030999 343928953241 402470051665 1031786859723 1207410154995 1719644766205 3783218485651 5158934298615 11349655456953 18916092428255 56748277284765