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82004023408 = 241917329013
BaseRepresentation
bin100110001011111010…
…0100001100001110000
321211200000001000022011
41030113310201201300
52320421012222113
6101401102452304
75632064461306
oct1142764414160
9254600030264
1082004023408
113186115157a
1213a86b94094
13796b38a598
143d7cda0276
1521ee3c863d
hex1317d21870

82004023408 has 60 divisors (see below), whose sum is σ = 168236034040. Its totient is φ = 38615194368.

The previous prime is 82004023403. The next prime is 82004023421. The reversal of 82004023408 is 80432040028.

It is a self number, because there is not a number n which added to its sum of digits gives 82004023408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82004023403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9093910 + ... + 9102922.

Almost surely, 282004023408 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 82004023408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84118017020).

82004023408 is an abundant number, since it is smaller than the sum of its proper divisors (86232010632).

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

82004023408 is a wasteful number, since it uses less digits than its factorization.

82004023408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9386 (or 9207 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 82004023408 in words is "eighty-two billion, four million, twenty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 38 76 152 173 304 346 692 1384 2768 3287 6574 9013 13148 18026 26296 29929 36052 52592 59858 72104 119716 144208 171247 239432 342494 478864 568651 684988 1137302 1369976 1559249 2274604 2739952 3118498 4549208 6236996 9098416 12473992 24947984 29625731 59251462 118502924 237005848 269750077 474011696 539500154 1079000308 2158000616 4316001232 5125251463 10250502926 20501005852 41002011704 82004023408