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83453690880 = 2103457171989
BaseRepresentation
bin100110110111000111…
…0100100010000000000
321222102000211202020000
41031232032210100000
52331403121102010
6102201010120000
76013026445140
oct1155616442000
9258360752200
1083453690880
113243548416a
1214210580000
137b3c808ca1
144079720920
1522867ce7c0
hex136e3a4400

83453690880 has 1760 divisors, whose sum is σ = 385202822400. Its totient is φ = 16817061888.

The previous prime is 83453690857. The next prime is 83453690911. The reversal of 83453690880 is 8809635438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 937681876 + ... + 937681964.

It is an arithmetic number, because the mean of its divisors is an integer number (218865240).

Almost surely, 283453690880 is an apocalyptic number.

83453690880 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 83453690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192601411200).

83453690880 is an abundant number, since it is smaller than the sum of its proper divisors (301749131520).

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

83453690880 is a wasteful number, since it uses less digits than its factorization.

83453690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 83453690880 in words is "eighty-three billion, four hundred fifty-three million, six hundred ninety thousand, eight hundred eighty".