Search a number
-
+
82278408108 = 223131923074759
BaseRepresentation
bin100110010100000101…
…1001101111110101100
321212101010100012100110
41030220023031332230
52322001233024413
6101444223500020
75641635633561
oct1145013157654
9255333305313
1082278408108
113199201a896
1213b42a57610
1379b318a0b0
143da75c6868
1522185278c3
hex13282cdfac

82278408108 has 144 divisors (see below), whose sum is σ = 218961980160. Its totient is φ = 23900842368.

The previous prime is 82278408101. The next prime is 82278408131. The reversal of 82278408108 is 80180487228.

It is not an unprimeable number, because it can be changed into a prime (82278408101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17286633 + ... + 17291391.

Almost surely, 282278408108 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 82278408108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109480990080).

82278408108 is an abundant number, since it is smaller than the sum of its proper divisors (136683572052).

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

82278408108 is a wasteful number, since it uses less digits than its factorization.

82278408108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 82278408108 in words is "eighty-two billion, two hundred seventy-eight million, four hundred eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 307 361 494 614 722 741 921 988 1083 1228 1444 1482 1842 2166 2964 3684 3991 4332 4693 4759 5833 7982 9386 9518 11666 11973 14079 14277 15964 17499 18772 19036 23332 23946 28158 28554 34998 47892 56316 57108 61867 69996 75829 90421 110827 123734 151658 180842 185601 221654 227487 247468 271263 303316 332481 361684 371202 443308 454974 542526 664962 742404 909948 1085052 1175473 1329924 1440751 1461013 1717999 2350946 2881502 2922026 3435998 3526419 4322253 4383039 4701892 5153997 5763004 5844052 6871996 7052838 8644506 8766078 10307994 14105676 17289012 17532156 18993169 20615988 22333987 27759247 37986338 44667974 55518494 56979507 67001961 75972676 83277741 89335948 111036988 113959014 134003922 166555482 227918028 268007844 333110964 360870211 527425693 721740422 1054851386 1082610633 1443480844 1582277079 2109702772 2165221266 3164554158 4330442532 6329108316 6856534009 13713068018 20569602027 27426136036 41139204054 82278408108