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82420823980 = 225113307113287
BaseRepresentation
bin100110011000010101…
…0011111011110101100
321212202001022200012101
41030300222133132230
52322244212331410
6101510312144444
75645315305315
oct1146052373654
9255661280171
1082420823980
1131a55451a60
1213b82698124
137a06831c41
143dbc49960c
152225ca9d3a
hex1330a9f7ac

82420823980 has 48 divisors (see below), whose sum is σ = 188877378816. Its totient is φ = 29961881280.

The previous prime is 82420823887. The next prime is 82420823981. The reversal of 82420823980 is 8932802428.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82420823980.

It is not an unprimeable number, because it can be changed into a prime (82420823981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670897 + ... + 784183.

It is an arithmetic number, because the mean of its divisors is an integer number (3934945392).

Almost surely, 282420823980 is an apocalyptic number.

It is an amenable number.

82420823980 is an abundant number, since it is smaller than the sum of its proper divisors (106456554836).

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

82420823980 is a wasteful number, since it uses less digits than its factorization.

82420823980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116614 (or 116612 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 82420823980 in words is "eighty-two billion, four hundred twenty million, eight hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3307 6614 13228 16535 33070 36377 66140 72754 113287 145508 181885 226574 363770 453148 566435 727540 1132870 1246157 2265740 2492314 4984628 6230785 12461570 24923140 374640109 749280218 1498560436 1873200545 3746401090 4121041199 7492802180 8242082398 16484164796 20605205995 41210411990 82420823980