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18058936320 = 21532537331
BaseRepresentation
bin10000110100011001…
…011000000000000000
31201121120002000110100
4100310121120000000
5243441041430240
612143545402400
71206342266055
oct206431300000
951546060410
1018058936320
117727887167
1235bba99400
13191a4c7349
14c345ad02c
1570a64ae30
hex434658000

18058936320 has 384 divisors, whose sum is σ = 64489585680. Its totient is φ = 4671406080.

The previous prime is 18058936303. The next prime is 18058936331. The reversal of 18058936320 is 2363985081.

It is a happy number.

18058936320 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 8 + 9 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×180589363202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54558555 + ... + 54558885.

Almost surely, 218058936320 is an apocalyptic number.

18058936320 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 18058936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244792840).

18058936320 is an abundant number, since it is smaller than the sum of its proper divisors (46430649360).

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

18058936320 is an equidigital number, since it uses as much as digits as its factorization.

18058936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 18058936320 in words is "eighteen billion, fifty-eight million, nine hundred thirty-six thousand, three hundred twenty".