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18046380000 = 253541137739
BaseRepresentation
bin10000110011101001…
…011110011111100000
31201120200110002102110
4100303221132133200
5243424333130000
612142420315320
71206130461525
oct206351363740
951520402373
1018046380000
117720790440
1235b7842b40
131917a1c07c
14c32a6114c
157094ba850
hex433a5e7e0

18046380000 has 480 divisors, whose sum is σ = 66412241280. Its totient is φ = 4250880000.

The previous prime is 18046379983. The next prime is 18046380007. The reversal of 18046380000 is 8364081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×180463800002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 18046380000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18046380007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24419631 + ... + 24420369.

It is an arithmetic number, because the mean of its divisors is an integer number (138358836).

Almost surely, 218046380000 is an apocalyptic number.

18046380000 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 18046380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33206120640).

18046380000 is an abundant number, since it is smaller than the sum of its proper divisors (48365861280).

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

18046380000 is a wasteful number, since it uses less digits than its factorization.

18046380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 18046380000 in words is "eighteen billion, forty-six million, three hundred eighty thousand".