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1009800000 = 2633551117
BaseRepresentation
bin111100001100000…
…101001101000000
32121101010011012000
4330030011031000
54032002100000
6244111304000
734011105216
oct7414051500
92541104160
101009800000
11479007760
1224221b000
1313128b9c1
149817ccb6
155d9ba000
hex3c305340

1009800000 has 672 divisors, whose sum is σ = 4285975680. Its totient is φ = 230400000.

The previous prime is 1009799953. The next prime is 1009800019. The reversal of 1009800000 is 89001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59399992 + ... + 59400008.

It is an arithmetic number, because the mean of its divisors is an integer number (6377940).

Almost surely, 21009800000 is an apocalyptic number.

1009800000 is a gapful number since it is divisible by the number (10) 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 1009800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142987840).

1009800000 is an abundant number, since it is smaller than the sum of its proper divisors (3276175680).

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

1009800000 is an equidigital number, since it uses as much as digits as its factorization.

1009800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1009800000 is about 31777.3504244769. The cubic root of 1009800000 is about 1003.2560532770.

Adding to 1009800000 its reverse (89001), we get a palindrome (1009889001).

The spelling of 1009800000 in words is "one billion, nine million, eight hundred thousand".