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993538000980 = 223357281993239
BaseRepresentation
bin11100111010100110111…
…10101100100001010100
310111222111101000212022000
432131103132230201110
5112234231212012410
62040231451235300
7131531540444520
oct16352336544124
93458441025260
10993538000980
113533a2333438
12140679a48b30
13728c8591695
1436132134d80
151ac9e2bedc0
hexe7537ac854

993538000980 has 192 divisors, whose sum is σ = 3533870592000. Its totient is φ = 227011406976.

The previous prime is 993538000951. The next prime is 993538000981. The reversal of 993538000980 is 89000835399.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993538000981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10609201 + ... + 10702439.

It is an arithmetic number, because the mean of its divisors is an integer number (18405576000).

Almost surely, 2993538000980 is an apocalyptic number.

993538000980 is a gapful number since it is divisible by the number (90) 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 993538000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766935296000).

993538000980 is an abundant number, since it is smaller than the sum of its proper divisors (2540332591020).

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

993538000980 is a wasteful number, since it uses less digits than its factorization.

993538000980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96083 (or 96075 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 993538000980 in words is "nine hundred ninety-three billion, five hundred thirty-eight million, nine hundred eighty", and thus it is an aban number.