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82012421028 = 22319232679969
BaseRepresentation
bin100110001100001010…
…0100011101110100100
321211200120211122200010
41030120110203232210
52320430134433103
6101402002450220
75632226035206
oct1143024435644
9254616748603
1082012421028
113186596785a
1213a89963970
13797003a9a5
143d80148776
1521eeed6903
hex1318523ba4

82012421028 has 72 divisors (see below), whose sum is σ = 210573109600. Its totient is φ = 24772594176.

The previous prime is 82012421021. The next prime is 82012421093.

82012421028 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82012420986 and 82012421004.

It is not an unprimeable number, because it can be changed into a prime (82012421021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219373 + ... + 460596.

Almost surely, 282012421028 is an apocalyptic number.

It is an amenable number.

82012421028 is an abundant number, since it is smaller than the sum of its proper divisors (128560688572).

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

82012421028 is a wasteful number, since it uses less digits than its factorization.

82012421028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680041 (or 680016 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 82012421028 in words is "eighty-two billion, twelve million, four hundred twenty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 529 874 1058 1311 1587 1748 2116 2622 3174 5244 6348 10051 20102 30153 40204 60306 120612 679969 1359938 2039907 2719876 4079814 8159628 12919411 15639287 25838822 31278574 38758233 46917861 51677644 62557148 77516466 93835722 155032932 187671444 297146453 359703601 594292906 719407202 891439359 1079110803 1188585812 1438814404 1782878718 2158221606 3565757436 4316443212 6834368419 13668736838 20503105257 27337473676 41006210514 82012421028