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84048408840 = 233511103961283
BaseRepresentation
bin100111001000110101…
…1001111000100001000
322000221110220112220010
41032101223033010020
52334112343040330
6102340013031520
76033540454554
oct1162153170410
9260843815803
1084048408840
1132710154610
12143577855a0
137c05aa55c6
1440d46d0864
1522bdb073b0
hex1391acf108

84048408840 has 128 divisors (see below), whose sum is σ = 275336755200. Its totient is φ = 20355429120.

The previous prime is 84048408827. The next prime is 84048408841. The reversal of 84048408840 is 4880484048.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 84048408840.

It is not an unprimeable number, because it can be changed into a prime (84048408841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340839 + ... + 1402121.

It is an arithmetic number, because the mean of its divisors is an integer number (2151068400).

Almost surely, 284048408840 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 84048408840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137668377600).

84048408840 is an abundant number, since it is smaller than the sum of its proper divisors (191288346360).

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

84048408840 is a wasteful number, since it uses less digits than its factorization.

84048408840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62347 (or 62343 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 84048408840 in words is "eighty-four billion, forty-eight million, four hundred eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1039 1320 2078 3117 4156 5195 6234 8312 10390 11429 12468 15585 20780 22858 24936 31170 34287 41560 45716 57145 61283 62340 68574 91432 114290 122566 124680 137148 171435 183849 228580 245132 274296 306415 342870 367698 457160 490264 612830 674113 685740 735396 919245 1225660 1348226 1371480 1470792 1838490 2022339 2451320 2696452 3370565 3676980 4044678 5392904 6741130 7353960 8089356 10111695 13482260 16178712 20223390 26964520 40446780 63673037 80893560 127346074 191019111 254692148 318365185 382038222 509384296 636730370 700403407 764076444 955095555 1273460740 1400806814 1528152888 1910191110 2101210221 2546921480 2801613628 3502017035 3820382220 4202420442 5603227256 7004034070 7640764440 8404840884 10506051105 14008068140 16809681768 21012102210 28016136280 42024204420 84048408840