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18046080000 = 210325413241
BaseRepresentation
bin10000110011101000…
…010101010000000000
31201120122212211220100
4100303220111100000
5243424244030000
612142410042400
71206125102064
oct206350252000
951518784810
1018046080000
1177205a6003
1235b7719400
131917945660
14c329c3aa4
1570945ba00
hex433a15400

18046080000 has 660 divisors, whose sum is σ = 70413451108. Its totient is φ = 4423680000.

The previous prime is 18046079969. The next prime is 18046080001. The reversal of 18046080000 is 8064081.

It can be written as a sum of positive squares in 10 ways, for example, as 14794343424 + 3251736576 = 121632^2 + 57024^2 .

It is a super-2 number, since 2×180460800002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18046080001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 74879880 + ... + 74880120.

Almost surely, 218046080000 is an apocalyptic number.

18046080000 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 18046080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206725554).

18046080000 is an abundant number, since it is smaller than the sum of its proper divisors (52367371108).

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

18046080000 is a wasteful number, since it uses less digits than its factorization.

18046080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18046080000 in words is "eighteen billion, forty-six million, eighty thousand".