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82119618960 = 24351718319913
BaseRepresentation
bin100110001111010110…
…1011111000110010000
321211222001112212120220
41030132231133012100
52321140110301320
6101420352233040
75635000146501
oct1143655370620
9254861485526
1082119618960
1131910425195
1213ab983b780
137989301812
143d90490ba8
15220960de40
hex131eb5f190

82119618960 has 80 divisors (see below), whose sum is σ = 254598418944. Its totient is φ = 21896190976.

The previous prime is 82119618953. The next prime is 82119619007. The reversal of 82119618960 is 6981691128.

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

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 15 ways as a sum of consecutive naturals, for example, 4113964 + ... + 4133876.

Almost surely, 282119618960 is an apocalyptic number.

82119618960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82119618960 is an abundant number, since it is smaller than the sum of its proper divisors (172478799984).

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

82119618960 is a wasteful number, since it uses less digits than its factorization.

82119618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37112 (or 37106 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The spelling of 82119618960 in words is "eighty-two billion, one hundred nineteen million, six hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17183 19913 34366 39826 51549 59739 68732 79652 85915 99565 103098 119478 137464 159304 171830 199130 206196 238956 257745 274928 298695 318608 343660 398260 412392 477912 515490 597390 687320 796520 824784 955824 1030980 1194780 1374640 1593040 2061960 2389560 4123920 4779120 342165079 684330158 1026495237 1368660316 1710825395 2052990474 2737320632 3421650790 4105980948 5132476185 5474641264 6843301580 8211961896 10264952370 13686603160 16423923792 20529904740 27373206320 41059809480 82119618960