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84048484080 = 24351164149667
BaseRepresentation
bin100111001000110101…
…1100001011011110000
322000221111001101002210
41032101223201123300
52334112402442310
6102340014412120
76033541220121
oct1162153413360
9260844041083
1084048484080
11327101a60a0
1214357801040
137c05b00922
1440d4710048
1522bdb1e820
hex1391ae16f0

84048484080 has 160 divisors (see below), whose sum is σ = 284685850368. Its totient is φ = 20343193600.

The previous prime is 84048484063. The next prime is 84048484097. The reversal of 84048484080 is 8048484048.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84048484063) and next prime (84048484097).

It is a super-2 number, since 2×840484840802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667407 + ... + 1717073.

Almost surely, 284048484080 is an apocalyptic number.

84048484080 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 84048484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142342925184).

84048484080 is an abundant number, since it is smaller than the sum of its proper divisors (200637366288).

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

84048484080 is a wasteful number, since it uses less digits than its factorization.

84048484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50335 (or 50329 counting only the distinct ones).

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

The spelling of 84048484080 in words is "eighty-four billion, forty-eight million, four hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 641 660 880 1282 1320 1923 2564 2640 3205 3846 5128 6410 7051 7692 9615 10256 12820 14102 15384 19230 21153 25640 28204 30768 35255 38460 42306 49667 51280 56408 70510 76920 84612 99334 105765 112816 141020 149001 153840 169224 198668 211530 248335 282040 298002 338448 397336 423060 496670 546337 564080 596004 745005 794672 846120 993340 1092674 1192008 1490010 1639011 1692240 1986680 2185348 2384016 2731685 2980020 3278022 3973360 4370696 5463370 5960040 6556044 8195055 8741392 10926740 11920080 13112088 16390110 21853480 26224176 31836547 32780220 43706960 63673094 65560440 95509641 127346188 131120880 159182735 191019282 254692376 318365470 350202017 382038564 477548205 509384752 636730940 700404034 764077128 955096410 1050606051 1273461880 1400808068 1528154256 1751010085 1910192820 2101212102 2546923760 2801616136 3502020170 3820385640 4202424204 5253030255 5603232272 7004040340 7640771280 8404848408 10506060510 14008080680 16809696816 21012121020 28016161360 42024242040 84048484080