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84828536560 = 2454757139511
BaseRepresentation
bin100111100000000101…
…1001011111011110000
322002221211212010221101
41033000023023323300
52342212101132220
6102545241534144
76062062443445
oct1170013137360
9262854763841
1084828536560
1132a80552069
1214534aa4354
137ccb5bb241
14416a1659cc
15231735630a
hex13c02cbef0

84828536560 has 80 divisors (see below), whose sum is σ = 201780513792. Its totient is φ = 33150470400.

The previous prime is 84828536539. The next prime is 84828536593. The reversal of 84828536560 is 6563582848.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×848285365602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2127205 + ... + 2166715.

Almost surely, 284828536560 is an apocalyptic number.

84828536560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84828536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100890256896).

84828536560 is an abundant number, since it is smaller than the sum of its proper divisors (116951977232).

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

84828536560 is a wasteful number, since it uses less digits than its factorization.

84828536560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40142 (or 40136 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 55.

The spelling of 84828536560 in words is "eighty-four billion, eight hundred twenty-eight million, five hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 571 752 940 1142 1880 2284 2855 3760 4568 5710 9136 11420 22840 26837 39511 45680 53674 79022 107348 134185 158044 197555 214696 268370 316088 395110 429392 536740 632176 790220 1073480 1580440 1857017 2146960 3160880 3714034 7428068 9285085 14856136 18570170 22560781 29712272 37140340 45121562 74280680 90243124 112803905 148561360 180486248 225607810 360972496 451215620 902431240 1060356707 1804862480 2120713414 4241426828 5301783535 8482853656 10603567070 16965707312 21207134140 42414268280 84828536560