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81838711296 = 293217760137
BaseRepresentation
bin100110000110111110…
…1111010001000000000
321211020110222021201100
41030031331322020000
52320101202230141
6101332435334400
75625016365636
oct1141575721000
9254213867640
1081838711296
11317869010a1
1213a3b751400
137943059c74
143d6504b356
1521deb220b6
hex130df7a200

81838711296 has 60 divisors (see below), whose sum is σ = 236192075262. Its totient is φ = 27279568896.

The previous prime is 81838711261. The next prime is 81838711303. The reversal of 81838711296 is 69211783818.

It can be written as a sum of positive squares in only one way, i.e., 80338233600 + 1500477696 = 283440^2 + 38736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8875461 + ... + 8884676.

Almost surely, 281838711296 is an apocalyptic number.

It is an amenable number.

81838711296 is an abundant number, since it is smaller than the sum of its proper divisors (154353363966).

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

81838711296 is a wasteful number, since it uses less digits than its factorization.

81838711296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17760161 (or 17760142 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 81838711296 in words is "eighty-one billion, eight hundred thirty-eight million, seven hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 17760137 35520274 53280411 71040548 106560822 142081096 159841233 213121644 284162192 319682466 426243288 568324384 639364932 852486576 1136648768 1278729864 1704973152 2273297536 2557459728 3409946304 4546595072 5114919456 6819892608 9093190144 10229838912 13639785216 20459677824 27279570432 40919355648 81838711296