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128465305848 = 233211792053211
BaseRepresentation
bin111011110100100100…
…0010000000011111000
3110021120222010201000200
41313221020100003320
54101044104241343
6135003253202200
712165330040245
oct1675110200370
9407528121020
10128465305848
114a533352760
1220a92930360
13c163c55a99
1463097345cc
15351d2644d3
hex1de92100f8

128465305848 has 96 divisors (see below), whose sum is σ = 384361286400. Its totient is φ = 38436091200.

The previous prime is 128465305811. The next prime is 128465305919. The reversal of 128465305848 is 848503564821.

128465305848 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 6 + 53 + 0 + 584 + 8 = 666.

It is a super-3 number, since 3×1284653058483 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128465305794 and 128465305803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964038 + ... + 1089173.

It is an arithmetic number, because the mean of its divisors is an integer number (4003763400).

Almost surely, 2128465305848 is an apocalyptic number.

128465305848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128465305848 is an abundant number, since it is smaller than the sum of its proper divisors (255895980552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128465305848 is a wasteful number, since it uses less digits than its factorization.

128465305848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053313 (or 2053306 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 128465305848 in words is "one hundred twenty-eight billion, four hundred sixty-five million, three hundred five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 79 88 99 132 158 198 237 264 316 396 474 632 711 792 869 948 1422 1738 1896 2607 2844 3476 5214 5688 6952 7821 10428 15642 20856 31284 62568 2053211 4106422 6159633 8212844 12319266 16425688 18478899 22585321 24638532 36957798 45170642 49277064 67755963 73915596 90341284 135511926 147831192 162203669 180682568 203267889 271023852 324407338 406535778 486611007 542047704 648814676 813071556 973222014 1297629352 1459833021 1626143112 1784240359 1946444028 2919666042 3568480718 3892888056 5352721077 5839332084 7136961436 10705442154 11678664168 14273922872 16058163231 21410884308 32116326462 42821768616 64232652924 128465305848