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83698391040 = 211351132389
BaseRepresentation
bin100110111110011010…
…0000001100000000000
322000001002021210201220
41031330310001200000
52332403242003130
6102241150555040
76022060404525
oct1157464014000
9260032253656
1083698391040
1132550618000
121427a508a80
137b7b414294
1440a001b14c
15229d018410
hex137cd01800

83698391040 has 768 divisors, whose sum is σ = 310784947200. Its totient is φ = 19190251520.

The previous prime is 83698390999. The next prime is 83698391053. The reversal of 83698391040 is 4019389638.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940431316 + ... + 940431404.

It is an arithmetic number, because the mean of its divisors is an integer number (404667900).

Almost surely, 283698391040 is an apocalyptic number.

83698391040 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 83698391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155392473600).

83698391040 is an abundant number, since it is smaller than the sum of its proper divisors (227086556160).

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

83698391040 is a wasteful number, since it uses less digits than its factorization.

83698391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 83698391040 in words is "eighty-three billion, six hundred ninety-eight million, three hundred ninety-one thousand, forty".