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84820802160 = 2435794473671
BaseRepresentation
bin100111011111110110…
…1101011101001110000
322002221022022012100010
41032333231223221300
52342203111132120
6102544404054520
76061636631253
oct1167755535160
9262838265303
1084820802160
1132a7714a0a6
1214532394440
137cc9b10983
14416911109a
1523168297e0
hex13bfb6ba70

84820802160 has 80 divisors (see below), whose sum is σ = 266272957440. Its totient is φ = 22332560640.

The previous prime is 84820802147. The next prime is 84820802177. The reversal of 84820802160 is 6120802848.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2217876 + ... + 2255795.

It is an arithmetic number, because the mean of its divisors is an integer number (3328411968).

Almost surely, 284820802160 is an apocalyptic number.

84820802160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84820802160 is an abundant number, since it is smaller than the sum of its proper divisors (181452155280).

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

84820802160 is a wasteful number, since it uses less digits than its factorization.

84820802160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473766 (or 4473760 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 84820802160 in words is "eighty-four billion, eight hundred twenty million, eight hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 4473671 8947342 13421013 17894684 22368355 26842026 35789368 44736710 53684052 67105065 71578736 89473420 107368104 134210130 178946840 214736208 268420260 353420009 357893680 536840520 706840018 1060260027 1073681040 1413680036 1767100045 2120520054 2827360072 3534200090 4241040108 5301300135 5654720144 7068400180 8482080216 10602600270 14136800360 16964160432 21205200540 28273600720 42410401080 84820802160