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9019890000 = 243354113037
BaseRepresentation
bin10000110011010000…
…01001100101010000
3212021121111212222000
420121220021211100
5121433042440000
64051011314000
7436343541252
oct103150114520
925247455860
109019890000
113909546950
1218b88ab900
13b09925624
14617d11cd2
1537bd0a000
hex219a09950

9019890000 has 400 divisors, whose sum is σ = 35305448640. Its totient is φ = 2185920000.

The previous prime is 9019889999. The next prime is 9019890041. The reversal of 9019890000 is 989109.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×90198900002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2968482 + ... + 2971518.

Almost surely, 29019890000 is an apocalyptic number.

9019890000 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 9019890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17652724320).

9019890000 is an abundant number, since it is smaller than the sum of its proper divisors (26285558640).

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

9019890000 is a wasteful number, since it uses less digits than its factorization.

9019890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 9019890000 is about 94973.1014550962. The cubic root of 9019890000 is about 2081.6150240368.

The spelling of 9019890000 in words is "nine billion, nineteen million, eight hundred ninety thousand".