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83978779060 = 22511171910111701
BaseRepresentation
bin100111000110110000…
…1100111100110110100
322000202121212222210101
41032031201213212310
52333442031412220
6102325044403444
76032033562361
oct1161541474664
9260677788711
1083978779060
1132684916740
12143383a6584
137bc4536457
1440c9367468
1522b795130a
hex138d8679b4

83978779060 has 192 divisors, whose sum is σ = 216567509760. Its totient is φ = 26956800000.

The previous prime is 83978779057. The next prime is 83978779081. The reversal of 83978779060 is 6097787938.

It is a junction number, because it is equal to n+sod(n) for n = 83978778983 and 83978779001.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7171210 + ... + 7182910.

It is an arithmetic number, because the mean of its divisors is an integer number (1127955780).

Almost surely, 283978779060 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 83978779060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108283754880).

83978779060 is an abundant number, since it is smaller than the sum of its proper divisors (132588730700).

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

83978779060 is a wasteful number, since it uses less digits than its factorization.

83978779060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11858 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 64.

The spelling of 83978779060 in words is "eighty-three billion, nine hundred seventy-eight million, seven hundred seventy-nine thousand, sixty".