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83210483440 = 24571771307401
BaseRepresentation
bin100110101111110111…
…0110011011011110000
321221210002012112100001
41031133232303123300
52330403340432230
6102120521235344
76004014303430
oct1153756633360
9257702175301
1083210483440
113232016a887
1214163032b54
137b01304266
1440552d22c0
15227028d0ca
hex135fbb36f0

83210483440 has 320 divisors, whose sum is σ = 238772717568. Its totient is φ = 26320896000.

The previous prime is 83210483431. The next prime is 83210483441. The reversal of 83210483440 is 4438401238.

It is a self number, because there is not a number n which added to its sum of digits gives 83210483440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83210483441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207507240 + ... + 207507640.

Almost surely, 283210483440 is an apocalyptic number.

83210483440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83210483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119386358784).

83210483440 is an abundant number, since it is smaller than the sum of its proper divisors (155562234128).

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

83210483440 is a wasteful number, since it uses less digits than its factorization.

83210483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 83210483440 its reverse (4438401238), we get a palindrome (87648884678).

The spelling of 83210483440 in words is "eighty-three billion, two hundred ten million, four hundred eighty-three thousand, four hundred forty".