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84528548468 = 227131937330329
BaseRepresentation
bin100111010111001001…
…0110100101001110100
322002011221101011122022
41032232102310221310
52341103302022333
6102455404052312
76051460543550
oct1165622645164
9262157334568
1084528548468
1132937186621
1214470534098
137c813c59b0
14413c396860
1522ead4ac98
hex13ae4b4a74

84528548468 has 96 divisors (see below), whose sum is σ = 196823827200. Its totient is φ = 30823566336.

The previous prime is 84528548443. The next prime is 84528548477. The reversal of 84528548468 is 86484582548.

It is a super-2 number, since 2×845285484682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84528548468.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90728 + ... + 421056.

It is an arithmetic number, because the mean of its divisors is an integer number (2050248200).

Almost surely, 284528548468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84528548468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98411913600).

84528548468 is an abundant number, since it is smaller than the sum of its proper divisors (112295278732).

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

84528548468 is a wasteful number, since it uses less digits than its factorization.

84528548468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330409 (or 330407 counting only the distinct ones).

The product of its digits is 78643200, while the sum is 62.

The spelling of 84528548468 in words is "eighty-four billion, five hundred twenty-eight million, five hundred forty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 37 38 52 74 76 91 133 148 182 247 259 266 364 481 494 518 532 703 962 988 1036 1406 1729 1924 2812 3367 3458 4921 6734 6916 9139 9842 13468 18278 19684 36556 63973 127946 255892 330329 660658 1321316 2312303 4294277 4624606 6276251 8588554 9249212 12222173 12552502 17177108 24444346 25105004 30059939 43933757 48888692 60119878 81591263 85555211 87867514 120239756 158888249 163182526 171110422 175735028 232221287 317776498 326365052 342220844 464442574 571138841 635552996 928885148 1112217743 1142277682 1625549009 2224435486 2284555364 3018876731 3251098018 4448870972 6037753462 6502196036 12075506924 21132137117 42264274234 84528548468